ok you did say that it didn't start a couple of weeks ago and the dealer changed the battery, Did they reprogram the computer. The keyfob also needs to be reprogrammed if this is not programmed it could cause a no start or the door or hatch not to work. There is a BCM Body Control Module that controls everything inside side the car including the doors,hatch, windows, radio, dash, head lights, cruise control, heating, everything that is electrical inside the car this controls. You can have only one problem or several differant thing. You need to caheck the fuse for the hatch and doors. Check for power to the fuse even if the fuse is ok use a test light. If you have no power then you need to test the BCM. There is a special scanner to read the BCM for this problem that the deal has. But if you know how to us the test light at the fuse box to see if the light comes on then the BCM is ok.
If you do get power at the fuse you need to test the power at the button for the hatch, if youhave power going into the switch but the hatch does not work you need a new switch. If this switch is bad it will not work also on the key fob.
So if you have a no start try the TSB
Now what could be going on with the Hatch is the Fuse, Switch, or the BCM.