[Galaxy S I9000 Android Development] MrOban:
Stock CM11 for S1?

If it helps, Omni has the same issue.

I have gapps "pa_gapps-modular-mini-4.4-20131126-signed" and can give you a logcat, when I deleted my google-account and added it again.

Logcat has a lot of warnings an errors. Some here:

12-08 14:54:33.695 E/GcmManager(7589): failed to remove cloud notification group.

12-08 14:54:33.695 E/GcmManager(7589): com.google.android.gms.auth.GoogleAuthException: BadUsername

12-08 14:54:33.695 E/GcmManager(7589):	at com.google.android.gms.auth.GoogleAuthUtil.getToken(Unknown Source)

12-08 14:54:33.695 E/GcmManager(7589):	at com.google.android.gms.auth.GoogleAuthUtil.getToken(Unknown Source)

12-08 14:54:33.695 E/GcmManager(7589):	at ecp.a(PG:327)

12-08 14:54:33.695 E/GcmManager(7589):	at ecp.a(PG:291)

12-08 14:54:33.695 E/GcmManager(7589):	at ecp.a(PG:132)

12-08 14:54:33.695 E/GcmManager(7589):	at ccj.c(PG:1355)

12-08 14:54:33.695 E/GcmManager(7589):	at ccj.a(PG:418)

12-08 14:54:33.695 E/GcmManager(7589):	at com.google.android.apps.plus.service.EsService.a(PG:6003)

12-08 14:54:33.695 E/GcmManager(7589):	at com.google.android.apps.plus.service.EsService.a(PG:4281)

12-08 14:54:33.695 E/GcmManager(7589):	at edy.run(PG:50)

12-08 14:54:33.695 E/GcmManager(7589):	at android.os.Handler.handleCallback(Handler.java:733)

12-08 14:54:33.695 E/GcmManager(7589):	at android.os.Handler.dispatchMessage(Handler.java:95)

12-08 14:54:33.695 E/GcmManager(7589):	at android.os.Looper.loop(Looper.java:137)

12-08 14:54:33.695 E/GcmManager(7589):	at edx.run(PG:122)

12-08 14:54:33.699 E/GcmManager(7589): Failed to remove unregistered destination from GCM group

12-08 14:55:54.343 E/BackupTransportService(912): Service instance recreated!

12-08 14:56:15.808 E/Gmail.LabelManager(8377): Unable to get label ^sq_ig_i_personal for account xxx.yyy@gmail.com

12-08 14:56:15.808 E/Gmail (8377): Couldn't find label: ^sq_ig_i_personal

12-08 14:55:55.492 E/dalvikvm(8146): Could not find class 'com.google.trix.ritz.shared.messages.b', referenced from method bgi.<init>

12-08 14:55:55.492 W/dalvikvm(8146): VFY: unable to resolve new-instance 6831 (Lcom/google/trix/ritz/shared/messages/b;) in Lbgi;

12-08 14:55:55.492 D/dalvikvm(8146): VFY: replacing opcode 0x22 at 0x039e

12-08 14:55:55.503 E/dalvikvm(8146): Could not find class 'com.google.trix.ritz.shared.render.g', referenced from method bgi.<init>

12-08 14:55:55.503 W/dalvikvm(8146): VFY: unable to resolve new-instance 6951 (Lcom/google/trix/ritz/shared/render/g;) in Lbgi;

12-08 14:55:55.503 D/dalvikvm(8146): VFY: replacing opcode 0x22 at 0x03ad

12-08 14:55:55.527 E/dalvikvm(8146): Could not find class 'com.google.trix.ritz.shared.behavior.validation.a', referenced from method bgi.<init>

12-08 14:55:55.535 W/dalvikvm(8146): VFY: unable to resolve new-instance 6811 (Lcom/google/trix/ritz/shared/behavior/validation/a;) in Lbgi;

12-08 14:55:55.535 D/dalvikvm(8146): VFY: replacing opcode 0x22 at 0x059c

12-08 14:55:55.542 E/dalvikvm(8146): Could not find class 'com.google.trix.ritz.shared.mutation.N', referenced from method bgi.<init>

12-08 14:55:55.542 W/dalvikvm(8146): VFY: unable to resolve new-instance 6918 (Lcom/google/trix/ritz/shared/mutation/N;) in Lbgi;

12-08 14:55:55.546 D/dalvikvm(8146): VFY: replacing opcode 0x22 at 0x074f

12-08 14:55:55.562 D/dalvikvm(8146): DexOpt: unable to opt direct call 0xa76b at 0x3a0 in Lbgi;.<init>

12-08 14:55:55.562 D/dalvikvm(8146): DexOpt: unable to opt direct call 0xa899 at 0x3af in Lbgi;.<init>

12-08 14:55:55.566 D/dalvikvm(8146): DexOpt: unable to opt direct call 0xa74a at 0x59e in Lbgi;.<init>

12-08 14:55:55.574 D/dalvikvm(8146): DexOpt: unable to opt direct call 0xa851 at 0x751 in Lbgi;.<init>

If you want the whole logcat I could add it.