Case 530 CK Trouble shooting

I have a few questions about my 530 CK I just recently purchased. I am new to having one so this could just be a error i'm causing.

1, how do I tell if I have a dry clutch or the other one?
2, If not a dry clutch, where do I add the oil on it fr the clutch system?
3, What oil to use?
4, When I first start it up it runs just fine and shifts just fine, When it warms up and I step on the clutch it starts to vibrate really bad and has a hard time going into gear. Any idea on what this might be?

Case 530 CK Trouble shooting