Product: Debt collection

Hello, my message is for Equifax, concerning accounts that i have been disputing now for over 5 moonths straight that are not mine and for some reason these accounts only show up on my Equifax report. I have even sent Equifax certified letters showing/proving to them that these accounts are not mine from the actual debt that Equifax is stating and they still report this account as verified. I don't understand what i have to do to prove to Equifax that they have really messed up my report. Since their breach, there has been other peoples account on my credit report. 
I would appreciate if they would take accountability as i am a working US tax payer and they hold my precious credit report & personal information in their hands. As of now, i feel as i cant trust these people as they get paid by these debt buyers to create false accounts on US citizens credit reports. How is this fair? If it were my debt i would own up to it! But it's not and i have proven and shown the appropriate documents to back up my case. Equifax has went as far as to put some inquiries on my report, then take them off then to add them back on after i receive a letter from Equifax stating that they are not on my report. Is this a game? I believe that i will be writing congress about this issue, as I am a very well respected person in my industry and now see that the US citizens have a major issue here with this reporting agency. Now, to get to the issues that i originally came here for, the first account proven with certified letter to Equifax not to be mine is account # XXXX reporting twice as a collection and a account. I am uploading document showing proof. 

Second is a medical bill trying to be collected by a choice recovery that isn't mine! I have sent several certified documents of proof that this debt isn't my account # XXXX They are claiming that i owe them {$40.00}! If it were my account I would pay the darn {$40.00}, but this is the thing, IT '' S NOT MINE! Tracking below for the certified letters sent. 
Tracking # XXXX usps - XXXX usps -  XXXX usps Next up old account over 10 years still reporting but no answer to any of my letters from both Equifax or XXXX XXXX. I haven't lived in XXXX Fl, for over 10 years, so how can this be my account? No one will validate or even give me the courtesy of answering my letters! I know they have received them, because i have been paying {$4.00} for each certified letter with return receipts. account # XXXX sent them out certified letters with NO response XXXX USPS and XXXX USPS Below you can see how many times i have sent Equifax certified letters. Maybe they never read them and threw them away? 
Tracking numbers to Equifax XXXX usps received XX/XX/XXXX XXXX usps received XX/XX/XXXX XXXX usps received XX/XX/XXXX XXXX usps received XX/XX/XXXX XXXX usps received XX/XX/XXXX As you can completely see this is a ton of money that i have spent on sending out these certified letters to these companies to be ignored. 

Please stop ignoring me and fix the issues, as this is not very professional to stick a consumer with debts that are not mine. As you may notice, i have a freeze on my report, because of the reasons that my personal information was stolen from your servers!