I cashed out my Adsense account a couple months ago (I had $45 in it after nearly a year). Bad bad idea I know, but I made a mistake. Oh, by the way, I was NOT banned, I just closed my account. I tried signing up again, and I was wondering if anybody else has done the same thing? I haven't heard a response for 3 or so days now, so I don't know if they will allow me back in or not.
I did the same thing, except my first account had less than $10, so I didn't get a check from that. I just signed up with a different email the second time.
There is no problem in rejoining the AdSense program if you choosed to close your account in the past.
I think you will get your response. Sometimes, it can take up to a week for them to send their decision.
I think you just have to wait for response from google. There is no reason not to get new account if you were not banned previously.