Welcome!
Have not had the same issues as you, but they should all be addressable under warranty, free of charge, buy your Dealer. The salesman that drove this Nitro should have reported any issues with it to the service department, before it was put back in inventory, for sale!
I recently had my U-connect radio system up-dated thanks to info supplied here (TBS). For some reason Dealers do not seem to address TBS issues when the vehicle is in stock or in your case a Demo. They wait till it is sold! Not smart on their part, and if your Dealer's Service Department is as slow as most around here (lack of work) it would be wise to perform and correct issues on their in-stock inventory, not only for their future inventory owners, but to generate income for their service departments and their mechanics. Keep in mind that Dealers make more profit from warranty repairs, than customer pay.
Make a good record, in writing, of your issues. Give your Dealer a chance to correct them first, then if not pleased, take it back with a printed copy of the TBS from this Site, and ask them if this could be the problem?
Good Luck, and let us know how everything works out.