rear sprocket "spin"
I'm doing my first chain and sprocket replacement on my 08 DL1000. I was laying beside the bike looking at the wear on the rear sprocket. There is no hooking seen, but the slots that are supposed to be a "U" where the chain links engage are getting elongated. The chain is now past its service length too. The chain has about 32,000 miles on it.
I noticed that the rear sprocket moves with the chain slightly. So say, if I were to ride away on the bike, it looks like the rear sprocket will travel with the chain about a 1/16th of an inch or so. I'm guessing that is not supposed to happen. (At least I've never noticed it before when I changed tires or did maintenance to the chain). So besides buying a chain as well as front and rear sprockets, what am I also going to find out that I need once I take the rear wheel off to stop this sprocket movement? That is, what might be causing this rear sprocket to move like that? Something else back there worn out that needs to be replaced? I'd like to make only one run to the parts shop when I go for the sprockets and chain.
Thanks for the help and advice.