Contact them and show them all your logs. If that doesnt work your going to have to find an alternative. Dont worry adsense isnt the only way to make money. Good Luck
if your referring to your flash game site... i highly doubt you coded all those games or had the right to showcase them.. therefore it sadly makes sense you got banned... i got banned on a music blog once.. was posting alot of single leaks... banned me right before they were about to pay me lol
Sorry to hear about that - you can always appeal, although it often doesn't work. You should try to find out if any of your friends or any one else you know was clicking (could have been a competitor too).
Wait for someday and apply from another domain ... once they approve your new accept then you can put your adsense code anywhere .... since google never bans a URL , they just scrap the account.