RE: Plane climbs after trim........
Wow! I can't believe you drive all the way from Bristow to Broken Arrow to fly. Isn't there anything on the west side of Tulsa that's a little closer? I haven't lived in the area for over 10 years, so I wouldn't really know.
BTW, I'm in the camp with the people who say don't worry about a little climb with full power right now. Trim for level flight at 1/2 throttle. Ask your instructor if he thinks you need to adjust the down thrust. Washers behind the top holes of the engine mount is a good way to do it, or use wood shims.
Have fun!
Scott