Did any of those three close your account for spending your money without their permission?
No, not for me. That's usually if you're depositing/withdrawing large amounts of cash because of AML compliance. Bringing ID into the local branch has always sufficed to get an account unfrozen.
Just had a look and I can withdraw £10000 per day
If you're using pro you need to send a request in to get it upped. Part of your eligibility for that will be the amount of BTC trade that you do there.