Nope , Clutch plates arent checked like that, the problems u mentioned are related to clutch adjustment and it can be done easily by a mechanic by adjusting ur clutch cable from outside,
the method to check clutch plates is to check the pick of ur bike ,the best way is to compare the rpms of ur bike at different speeds with some good condition bike u know , they shud be same, both bikes shud be in same gear and same speed and ur Rpms shud match, if ur bike shows high rpms then the other then ur clutch plates are faulty,
but this check is done at high speed only (80+) only then it can show u the difference,
rest Also check all the nuts and bolts of ur engine mountings plus ur wheel alignment (front and rear) and also the axle bolt of the engine