All good questions. From our experience:
1) A tool for the leveling jacks should have been included. Check with the dealer; it may have been overlooked.
2) We haven't had that problem, though our current TT doesn't allow for quite as tight a turn angle as our old one. We think it has to do with the length of the tongue. Sounds like an adjustment of some kind may be necessary.
3) We've had that problem on occasion, which often seems to be related to either corrosion on the ball (or the hitch) or an unlevel parking space - especially if the truck sits at a different angle than the trailer. We have been using white lithium grease; recently DH discovered spray lithium grease, which is less messy (and should last forever, he thinks). Spray the ball and the latch on the hitch; you could perhaps spray the hitch receptor, but DH doesn't.
4) Kitchen counter is pretty good - you can also use a small bubble level (they make little tiny ones, an inch or so in diameter) inside the fridge to be really sure. We found that our TT has different "levels" - the floor reads one way, the tongue another, the fridge yet another. Nothing is way off, and newer fridges are way less sensitive to level than those from the 60s and 70s. Once you determine what your optimal level is for the TT, put some stick-on levels outside, one for front to back and the other for side to side. Makes setting up much easier. We like the ones marked in inches.
Enjoy your new "toy"!
