Ehm, there's no ban on the account.

https://vaclist.net/account/76561198449667149

Okay, are you telling us that the perpetrators used cheats and that's why you're worried about getting banned, or do you think you already have a ban?

If you're worried:
If the perpetrators used cheats, you'll almost certainly get a VAC ban, and no, it can't be removed.

If you think you have a ban:
No, you don't have a ban. A cooldown and a VAC error aren't bans.