Start with adjusting the clutch. Your symptoms point towards a dragging clutch.
I prefer to check the chain slack off the center-stand, sitting with the tire on the ground and weight on the seat; this will put the chain at it's tightest position. It's far better for the chain to be a little loose than a little tight! 
Andy, if you don't know exactly what Scotty is saying here, about chain adjustment, without any guessing or measuring, is you have 3 shafts to line up, the counter shaft, pivot shaft (swing arm,) and the axle shaft, when those three are in a line, that's the tightest point of the chain unless the chain is kinked, adjust with some but little slack. The reason for the slack is, if it's too tight, it can break a counter shaft, or case, the chain is strong. And the easiest way to get the 3 shaft in line, are with a tie down connected at the upper frame to the swing arm, somewhere near a shock, compressing it, then you can set the chain tension and the alignment and know it's right, even after the axle is matching the reference marks on both sides of the swing arm, snug up the axle nut a little, and sighting down the chain from the rear,then spin the wheel, you'll be able to see if it's not straight, but double check that the rear sprocket teeth are riding in the center and not off to either side. Sometimes the marks wont be accurate if there's slight bends in the frame.