Some looseness in the slide is a good thing. I have a Dan Wesson with it's trademark tight slide to frame fit and it can never be that far away from a cleaning kit. After about 4000 rounds it is time for a new recoil spring as well. A loose trigger is strictly aesthetics as well, it doesn't effect any functioning of the gun. Even expensive 1911s will have loose triggers.
From what you wrote I think your gun is fine, you just need a little more time shooting it. I wouldn't adjust the sights until you see a tighter group forming somewhere on the target. Best of luck.
New gun, same ol' shot.