how old is your son? are you sure he didn't use your info when signing up for adsense.....did he use the same address?
and now i dont suggest you to use your own credit card to apply again. since you are still using same computer,(probably same IPs) you will end up with the same result. I afraid talking with support team is the only choice but i dont think they will do refund or unbanned your adsense account. not sure about adwords account though.