By "sticking" I'm assuming you mean the engine is still partially engaged with the handlebar lever pulled in? If I assume correctly I would start by tightening the clutch cable. You'll want little to no slack at the engine end where it's attached to the clutch actuator arm. If you installed the 1/4" diameter spring that came with the kit, throw it away. Keep the larger one. It's a heat shield.
Whatever, don't start adjusting the flower nut on the right side until you have read and fully understand what you're dealing with. There is a lot of information here on the proper procedures for clutch adjustment. Most clutch problems can be traced to an improperly adjusted clutch cable. Try that and get back to us.
As far as lubrication, yes the clutch actuator mechanism behind the cover, left side, needs to be greased. There is a cam, inside the cover, the bucking bar, protrudes from the sprocket and the ball bearing, goes in before the bucking bar, they all need periodic lubrication. Use a good bearing grease. Not oil on these parts.
Tom