Yes, jeep trails in the Moab area range from mild to wild. Some are only for very highly modified rigs, so do your research ahead of time.
There are some dinosaur tracks around, but none are exceptional. Many are subtle enough that to the untrained eye, they don't look like much. If you have the time, head up to Vernal for a couple of days. Besides Dinosaur NM, check out the Utah Field house in town. Really nice dinosaur museum.
Haven't been through the new museum outside of Moab.
Better ruins down by Blanding, Cedar Mesa, and Hovenweep.