Not necessarily, there's no rule against having 2 accounts, your 2 score submits may not have got you ban worthy, but perhaps the more you worry about it, the more you try to prevent against it, the more suspicious activities you do, the more likely you will be to be banned.
If the account isn't so valuable, I'd probably forget about the incident and play as normal with no cheating. A normal person who suddenly got 2 great streaks of luck in 2 games wouldn't be spawning new accounts suddenly and moving all about and stuff. I'd just act naturally, normally.