Dude, I don't want to bare anything with you, but here you go:
1. 1" threaded or threadless? I'm assuming threaded. The headset doesn't hold the bars in, you gotta tighten the bolt on top of the stem for that. You have probably overtightened the headset by this point, as well. Get on the park tool site and learn how to properly adjust it.
2. The slotted ring is your lockring, it's threaded opposite of your cog (it's left hand thread). You have to tighten your cog first and then your lockring. This takes a chain whip and some kind of lock ring hook or tool. You can get around using the chainwhip using the rotafix trick (google for rotafix), but be sure to put a rag around the chain at the bottom bracket so you don't scar it. You also don't need it crazy hero tight since you have a lock ring.
I'm guessing you might have chain tension issues as well, since you're new to fixed gear. This could be causing the "skipping," especially on a new drive train.