[Android Software Development] lethal80:
It seems to be the problem with this "unique" application. Google play is working and I can download from it.

Here's the complete log. The hack mode is activated.

07-19 16:25:39:890 W/I Tool version : 3.7
07-19 16:25:39:890 W/I C:\android-sdk-windows\sdk\platform-tools\adb.exe
07-19 16:25:39:890 W/I C:\android-sdk-windows\sdk\platform-tools\..\build-tools\android-4.2.2\aapt.exe
07-19 16:25:40:000 W/I Android Debug Bridge version 1.0.31

07-19 16:25:40:125 W/I Log clear started
07-19 16:25:40:171 W/I Log Clear Done. Start log
07-19 16:25:43:906 W/I ==> Start android service
07-19 16:25:44:906 L/I Reverse tethering started. Process id is 13029
07-19 16:25:39.99 A/I SocketService.onStartCommand. Action = TTServiceStart
07-19 16:25:39.99 A/I UsbThread1.run() needToBeClosed is true
07-19 16:25:39.99 A/I Socks5Server [Socks5ServerMain] : WAIT_SOCKET_MODE Socket closed
07-19 16:25:39.99 A/I UdpRelay (42004) : Thread stopped : Socket closed
07-19 16:25:40.00 A/I =====HcDesactivateFakeWifi======
07-19 16:25:40.03 A/V Java_service_tracetool_NativeSockets_cppCloseTcpServer 111
07-19 16:25:40.03 A/D closeAllNativeTcpClients : 0 clients
07-19 16:25:40.03 A/I UsbThread : thread main : wait current UsbThread to terminate 0
07-19 16:25:40.03 A/V cppMainTcpServerLoop : server closed. Time to leave
07-19 16:25:40.03 A/V cppMainTcpServerLoop after loop 111
07-19 16:25:40.03 A/I mainTcpServerLoop() done
07-19 16:25:45:203 W/I Wait service. If nothing happens now, close the program and retry
07-19 16:25:45:312 W/I waiting android server connection ... 1
07-19 16:25:40.68 A/D OnStop script
07-19 16:25:40.68 A/D wifi or 3g card adress : ""
07-19 16:25:40.69 A/D Interface to use : "sit0"
07-19 16:25:40.69 A/D Old route adress disabled : ""
07-19 16:25:40.69 A/D default route to restore : ""
07-19 16:25:40.69 A/D adress to use : "192.168.1.2"
07-19 16:25:40.69 A/D nativeUdp : "false"
07-19 16:25:40.70 A/D busybox ifconfig sit0 down
07-19 16:25:40.81 A/D no default route to restore
07-19 16:25:40.81 A/D restore default gateway : OK
07-19 16:25:40.82 A/I clean iptables
07-19 16:25:41.03 A/I UsbThread : thread main : wait current UsbThread to terminate 1

07-19 16:25:46:312 W/I waiting android server connection ... 2
07-19 16:25:42.03 A/I UsbThread : thread main : wait current UsbThread to terminate 2
07-19 16:25:47:312 W/I waiting android server connection ... 3
07-19 16:25:43.03 A/I UsbThread : thread main : wait current UsbThread to terminate 3

07-19 16:25:48:312 W/I waiting android server connection ... 4
07-19 16:25:43.53 A/I UsbThread1 : thread stopped

07-19 16:25:44.05 A/I TunnelController : thread started

07-19 16:25:44.06 A/I UsbThread2 : thread started

07-19 16:25:44.06 A/I UsbThread2 : Create usb socket
07-19 16:25:44.06 A/I UsbThread2 : usbServerSocket : Waiting for the host to connect
07-19 16:25:49:421 W/I Waiting for connection. If nothing happens now, close the program and retry
07-19 16:25:44.56 A/I UsbThread2 : Host connected

07-19 16:25:50:234 W/I Check connection 2 ok
07-19 16:25:50:234 W/I Android service status : Host connected
07-19 16:25:50:312 W/D ------------------------------------------------------------
07-19 16:25:50:312 W/D Android Superuser may ask you to accept rights.
07-19 16:25:50:312 W/D Check your android and accept "Superuser Request" now if needed !!!
07-19 16:25:50:312 W/D If connection stop here and Superuser don't apears ,you phone or tablet is probably not rooted
07-19 16:25:45.46 A/I RELEASE : 4.0.4
07-19 16:25:45.46 A/I INCREMENTAL : S7562XXALK1
07-19 16:25:45.46 A/I SDK : 15
07-19 16:25:51:593 W/I interfaces before script startlo(UP) 127.0.0.1/8, rmnet0(DOWN), rmnet1(DOWN), rmnet2(DOWN), rmnet3(DOWN), rmnet4(DOWN), rmnet5(DOWN), rmnet6(DOWN), rmnet7(DOWN), sit0(DOWN) 192.168.1.2/24, ip6tnl0(DOWN)
07-19 16:25:51:890 W/I no route
07-19 16:25:47.39 A/D OnStart script
07-19 16:25:47.41 A/D wifi or 3g card adress : ""
07-19 16:25:47.41 A/D Interface to use : "sit0"
07-19 16:25:47.42 A/D Old routes adress to disable : ""
07-19 16:25:47.42 A/D default route to restore : ""
07-19 16:25:47.79 A/V Chain PREROUTING (policy ACCEPT 0 packets, 0 bytes)

07-19 16:25:47.79 A/V pkts bytes target prot opt in out source destination
07-19 16:25:47.79 A/V Chain INPUT (policy ACCEPT 0 packets, 0 bytes)
07-19 16:25:47.79 A/V pkts bytes target prot opt in out source destination
07-19 16:25:47.79 A/V Chain OUTPUT (policy ACCEPT 1 packets, 60 bytes)
07-19 16:25:47.79 A/V pkts bytes target prot opt in out source destination
07-19 16:25:47.79 A/V Chain POSTROUTING (policy ACCEPT 1 packets, 60 bytes)
07-19 16:25:47.79 A/V pkts bytes target prot opt in out source destination
07-19 16:25:47.79 A/V Chain HOLA_OUTPUT (0 references)
07-19 16:25:47.79 A/V pkts bytes target prot opt in out source destination
07-19 16:25:47.79 A/V Chain HOLA_PREROUTING (0 references)
07-19 16:25:47.79 A/V pkts bytes target prot opt in out source destination
07-19 16:25:47.79 A/D adress to use : "192.168.1.2"
07-19 16:25:47.80 A/D nativeUdp : "false"
07-19 16:25:47.80 A/D Create TETHER chain and Clean...
07-19 16:25:48.40 A/D ICMP...

07-19 16:25:49.75 A/D busybox ifconfig sit0 up

07-19 16:25:49.95 A/D ifconfig sit0 192.168.1.2 netmask 255.255.255.0
07-19 16:25:50.20 A/D no default route to delete

07-19 16:25:50.20 A/D route add default gateway 192.168.1.2 sit0

07-19 16:25:50.57 A/D setprop dns and ip
07-19 16:25:55.84 A/D redirect all communications to TETHER chain

07-19 16:25:57.20 A/D forward tcp to native handler

07-19 16:25:59.92 A/D forward udp to redsocks

07-19 16:26:03.57 A/V Chain PREROUTING (policy ACCEPT 0 packets, 0 bytes)

07-19 16:26:03.62 A/V pkts bytes target prot opt in out source destination

07-19 16:26:03.62 A/V Chain INPUT (policy ACCEPT 0 packets, 0 bytes)
07-19 16:26:03.62 A/V pkts bytes target prot opt in out source destination
07-19 16:26:03.62 A/V Chain OUTPUT (policy ACCEPT 0 packets, 0 bytes)
07-19 16:26:03.62 A/V pkts bytes target prot opt in out source destination
07-19 16:26:03.62 A/V 16 1297 HOLA_OUTPUT udp -- any any anywhere anywhere udp dpt:6856 state NEW
07-19 16:26:03.62 A/V 2 132 HOLA_OUTPUT udp -- any any anywhere anywhere udp dpt:domain state NEW
07-19 16:26:03.62 A/V 2 120 TETHER all -- any any anywhere anywhere
07-19 16:26:03.62 A/V Chain POSTROUTING (policy ACCEPT 0 packets, 0 bytes)
07-19 16:26:03.62 A/V pkts bytes target prot opt in out source destination
07-19 16:26:03.62 A/V Chain HOLA_OUTPUT (2 references)
07-19 16:26:03.62 A/V pkts bytes target prot opt in out source destination
07-19 16:26:03.62 A/V 16 1297 DNAT udp -- any any anywhere anywhere udp dpt:6856 state NEW to::53
07-19 16:26:03.62 A/V 2 132 DNAT udp -- any any anywhere anywhere udp dpt:domain state NEW to:192.168.1.2:53
07-19 16:26:03.64 A/V Chain HOLA_PREROUTING (0 references)
07-19 16:26:03.64 A/V pkts bytes target prot opt in out source destination
07-19 16:26:03.64 A/V Chain TETHER (1 references)
07-19 16:26:03.64 A/V pkts bytes target prot opt in out source destination
07-19 16:26:03.64 A/V 0 0 REDIRECT tcp -- any sit0 anywhere anywhere tcp dpts:tcpmux:41999 redir ports 42200
07-19 16:26:03.64 A/V 0 0 REDIRECT tcp -- any sit0 anywhere anywhere tcp dpts:42500:65535 redir ports 42200
07-19 16:26:03.65 A/V 0 0 REDIRECT udp -- any sit0 anywhere anywhere udp dpt:domain redir ports 42001
07-19 16:26:03.65 A/D OnStart script done
07-19 16:26:03.65 A/I UsbThread2 : runGlobalScriptStart : script GlobalScriptStart done
07-19 16:26:03.67 A/I UsbThread2 : Api.nativeTcpSockets : null
07-19 16:26:03.67 A/I UsbThread2 : Api.nativeUdpSockets : null
07-19 16:26:03.67 A/I UsbThread2 : Api.nativeDnsSockets : null
07-19 16:26:04.25 A/I mainTcpServerLoop()

07-19 16:26:04.28 A/V cppMainTcpServerLoop : started
07-19 16:26:04.76 A/I UsbThread2 : call HcActivateFakeWifi intent

07-19 16:26:04.76 A/I UsbThread2 : after HcActivateFakeWifi intent
07-19 16:26:04.76 A/I UsbThread2 : runGlobalScriptStart done
07-19 16:26:04.78 A/I =====HcActivateFakeWifi==========

07-19 16:26:10:687 W/I interfaces after script startlo(UP) 127.0.0.1/8, rmnet0(DOWN), rmnet1(DOWN), rmnet2(DOWN), rmnet3(DOWN), rmnet4(DOWN), rmnet5(DOWN), rmnet6(DOWN), rmnet7(DOWN), sit0(UP) 192.168.1.2/24, ip6tnl0(DOWN)
07-19 16:26:11:031 W/I route : destination : 0.0.0.0, gateway : 192.168.1.2, output : sit0
07-19 16:26:11:031 W/I route : destination : 192.168.1.0, gateway : 0.0.0.0, output : sit0
07-19 16:26:11:031 W/I
07-19 16:26:11:031 W/I Connection done
07-19 16:26:20.61 A/I com.google.android.youtube : NetworkInfo getActiveNetworkInfo()

07-19 16:26:20.63 A/I com.google.android.youtube : NetworkInfo getNetworkInfo(int networkType) 1

07-19 16:26:22.40 A/I com.google.process.gapps : NetworkInfo getActiveNetworkInfo()
07-19 16:26:22.42 A/I com.google.process.gapps : NetworkInfo getNetworkInfo(int networkType) 1

07-19 16:26:22.43 A/I com.google.process.gapps : NetworkInfo getNetworkInfo(int networkType) 1
07-19 16:26:22.46 A/I com.google.process.gapps : NetworkInfo getNetworkInfo(int networkType) 1
07-19 16:26:22.46 A/I com.google.process.gapps : NetworkInfo getNetworkInfo(int networkType) 1
07-19 16:26:22.47 A/I com.google.process.gapps : NetworkInfo getActiveNetworkInfo()
07-19 16:26:22.49 A/I com.google.process.gapps : NetworkInfo getActiveNetworkInfo()
07-19 16:26:22.50 A/I com.google.process.gapps : NetworkInfo getActiveNetworkInfo()
07-19 16:26:23.37 A/I handleLoadPackage : com.android.MtpApplication (14280/14280) com.android.settings

07-19 16:26:43.21 A/I com.dropbox.android : NetworkInfo getActiveNetworkInfo()
07-19 16:26:43.26 A/I com.dropbox.android : NetworkInfo getNetworkInfo(int networkType) 1
07-19 16:26:49.66 A/I com.chrome.gmat_pill.splash : NetworkInfo getActiveNetworkInfo()
07-19 16:26:49.66 A/I com.chrome.gmat_pill.splash : NetworkInfo getNetworkInfo(int networkType) 1
07-19 16:26:49.67 A/I com.chrome.gmat_pill.splash : NetworkInfo getActiveNetworkInfo()
07-19 16:26:49.67 A/I com.chrome.gmat_pill.splash : NetworkInfo getNetworkInfo(int networkType) 1
07-19 16:27:05.11 A/I com.chrome.gmat_pill.splash : NetworkInfo getActiveNetworkInfo()

07-19 16:27:05.16 A/I com.chrome.gmat_pill.splash : NetworkInfo getNetworkInfo(int networkType) 1

Server List
http (80) : A->H : 74156 ,H->A : 5610137

DNS List