Yep, to check the front diff mounts I would jack it up so the front wheels are off the ground and then stick a crow bar or pry bar up in there and try to move the diff up & down, the rubber mounts should give a little but be firm. the motor mounts you can check with the hood open (so you can see the engine) and get in with your foot on the brake and put it in drive and give it some gas with the brake applied firmly and the same with it in reverse, the motor will move but you should be able to see if it just slams or has some tension, bad motor mounts are pretty common on the gmt900's the fix is to replace them with the hummer motor mounts which are solid rubber instead of a liquid filled. there is a couple of lengthy threads on here about it.