I hope that you are not losing big money in that exchange.
I think it's normal if the exchanges are asking about KYC because they are bond with the regulations and maybe that site needs you to complete the KYC.
Did you finally contact their staff to help you to solve the problem?
And if the only way for you to unlocked the account is by fills the KYC, then you need to do what they said, but that is only if you want to trade in that site.