Then, I realized from support ticket that my country is not supported from binance exchange. I only have the option to withdraw the coin.
It is unfortunate but you are not the only one. People that live in countries blacklisted for whatever reason also report being driven away. Nothing to do, but leave.
2. Without verification of ID, can deposit/withdrawl money from coinbase
No, you have to do verification if you are going to deposit/withdraw money.