Never hurts to ask. Everything is negotiable with dealerships. I have had dealerships pay title and tax, but it was on a used Jeep. It all depends on how you talk and who you talk to.
Not quite... if you start negotiating on a vehicle purchased through the Exchange dealership program, they can start negotiating everything! They'll start adding fees and crap that are supposed to be all taken care of, so you don't want to do that.
In addition, these deals are supposed to be pretty much complete. You get the good deal, the dealer makes a few bucks prepping the vehicle and you pay for YOUR costs... tax, insurance, registration and title. Hell, why not ask them to pay for your insurance, too??
No, the dealer will not pay for this stuff for you, though they may do it on your behalf - with you footing the bill, of course. But, many states require your signature, so unless you provide them with a POA, they simply can't.
You'll have to be ready to cover these costs when you get back in order to pick up your Jeep.