Mine is the same
suspended account

Also matchmaking and then aborting too often will do it. Some people do it too often because they want to play white.
Also trash talking.

I do not recall doing anything illegal
How do I get my account back
Poor Sportsmanship gets account placed in a different player pool, not suspended. Accounts are closed for some type of TOS violations.

My old account was just suspended from letting the clock run once...
That doesn't happen.

Martin: It did happen. No warnings or anything. My old account was immediately suspended after one instance of being reported. No warnings. Nothing.
The circumstance was that I was using a different device (touch screen) and the "castle function" didn't work - my king just moved one space over. It was very obvious what happened. I told my opponent and asked for a draw. They refused the draw and were rude about it, so I said, "well if you want the win so bad, then you can wait 15 mins".... Immediately banned.
The old account was: TyranniCreation, I'm not sure if you can still the account's game history after it's been suspended.
I sympathise with your predicament, but why should your opponent have to agree to a draw due to your error.
You should have played on or resigned and chalked it up to experience. Now your opponent has probably blocked you and maybe a few others will too. Not a good outcome.

Martin: It did happen. No warnings or anything. My old account was immediately suspended after one instance of being reported. No warnings. Nothing.
The circumstance was that I was using a different device (touch screen) and the "castle function" didn't work - my king just moved one space over. It was very obvious what happened. I told my opponent and asked for a draw. They refused the draw and were rude about it, so I said, "well if you want the win so bad, then you can wait 15 mins".... Immediately banned.
The old account was: TyranniCreation, I'm not sure if you can still the account's game history after it's been suspended.
Accounts are not closed for that reason. It was for something else.

@ALasky, I will say, you can appeal a closure, but what was described isn't enough to close an account on it's own.
https://support.chess.com/article/346-contact-us
My account was suspended due to poor sportsmanship
I do not recall doing anything illegal
How do I get my account back