You should check with support what is the problem, i never had any problem on Binance. If they ask kyc you should do it but as i know you can withdraw 2 btc every 24 hours without kyc. After you check with support please update the here and let us know what was the problem.
They block accounts selectively with small deposits(<1btc) where the user doesn't log during month.
Your account is not blocked now, but they may block any account without serious reasons.
I reccomend you to keep your money at your PC, but not at the Binance.
This is nonsense. They do not randomly block accounts without a valid reason. Have you contacted them and asked why your withdraw limit was set to zero?