The kick starter is purely mechanical and has nothing to do with the starter relay. However I have seen locked and broken kickstarters on Chinese bikes many times before. The problem is almost always due to a metal part being broken inside the engine. Chinese bikes are made out of the poorest quality materials I've ever seen. I used to have a 2007 Chinese 200cc motorcycle, and the kickstarter stripped out the second or third time I tried to use it. At around 3500 miles, the centrifugal oil filter inside the engine came loose, the engine lost oil pressure, and locked up. I was left with a $1500 paperweight.
Back around 2000, I worked for a local Chinese scooter dealer for awhile on weekends, uncrating and setting up new Chinese scooters. Virtually every one of them was broken in the crate. There would be broken bits of plastic and metal? on the bottom of the crate. I finally became frustrated to the point where I gave up on Chinese bikes completely.
You might try jumpering the starter relay directly with a screwdriver or heavy piece of cable. Or you might be able to free up the kick starter by putting the bike in gear and rocking it back and forth.