Well, I always pay so i'm not too sure.
But usually non-payment should get your acc suspended not the domain. If the domain is suspended it would still be because there is some wrong with the site.
In your case i would just get s new adwords acc and new domain.
If you really wanted old domain, you could get a new adwords acc and make ad for old domain, the system would reject your ad and then you would dispute it and ask them what is wrong and then fix it. but yea... just get a new domain lol. Less work and less risk.