What were your reasons for opening multiple accounts - if you can demonstrate there was a genuine reason that did not involve any attempt to cheat, deceive or defraud anyone, then there is a chance you may persuade Google to re-admit you - the first hurdle will be to establish a channel of communication!
If you are unable to demonstrate honest reasons for opening multiple accounts, then it will be very difficult to persuade Googel to change their mind.
If somebody created new adwords account and put your URL in his Ads, your other accounts will be banned, I guarantee that. Google is crazy. If you want to beat your competitor, you can do that.