Just comply with the requirements pal. You just need to submit necessary papers and ID's for you to be able to trade again and if you contact them on their customer service they usually give you considerations for your unique case. Kucoin is a great exchange because newly launched coins are often tradeable in it. The platform backing it with KYC will just strengthen its security so there is nothing bad about it but only up.
What kind of documents are they requiring precisely? Do they require a selfie with some documents or weird messages like many platforms are asking for? I hate those KYC processes, you're kindly giving to them highly private and confidential documents but they are never satisfied with them the first time, they almost always ask you to submit your documents and pictures several times again because for unknown reasons it's never ok for them. 
They don't ask to much documents since kucoin just need a back to back picture of your id (1 government issued id) and a selfie then you could proceed to Kyc process. There's nothing to get worried about it since there's nothing we can do since most of reputable exchange are now requiring this Kyc requirements to their users. Just make sure you submit a clear image and you will never get a problem on the whole process.