Well, VAC checks if they banned u accidently. Thats why in the message it says: they banned u legitmely. Dude, they arent a bunch of geeks on a Windows 98 with no mouse. They get paid to banned hackers, so they are pro. Also, they check your IP where you played(i think, probably not), and if your IP is different and u claim someone hacked ur Acc and u used hacks right at the time they flagged you, then they might consider it. And probably u left a Injector on or u used VAC chaos ^^
Oh and they have a program for that, the reason why they wont unban you is cause they are to lazy to make an unban prog, the ban system automaticly bans you and the administrators or the support team can't just click 1 button to unban you. So whatever you did you are banned. If you did nothing i am deeply sorry for your money loss...
Solution 1: You hacked, got banned and you don't want to addmit it..
Solution 2: Contact Steam support as fast as you can, because VAC bans in 2-3 weeks, they should believe you, but don't use the title ,,I got banned''.
This thread it's going nowhere, no one can help you if you are banned.