Please give a link to register on the exchange. I won't have any trouble registering, will I?

Yes, the registration process on this exchange will not take more than 10 minutes. Here is my referral link https://bitebtc.com/?affid=48395

This is true with the registration of problems does not arise, but will there be problems with the withdrawal of funds in the future?

If you successfully complete the KYC process, there will be no problems with depositing or withdrawing funds.