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.
I dont know why many people keep complaining unnecessarily about this KYC issue, we already know that this requirement is what many of them are now imposing and you will never see a centralized exchange that would not request for one now, so instead of proving too stubborn to start having all these issue of locked account, we can just simply do the KYC or move to a decentralized exchange, after all, not many of them forced us to register with them, we are the one that willingly chose them, and the exchange he chose to use is even not a popular one for that matter, so he should deal with his challenge.