About a rear hatch not opening

Rear hatch is locked or unlocked with a key. (if equipped) • To open the rear hatch, insert the key into the lock, turn it to the unlock position and pull up the rear hatch by pressing the handle (DOOR). You can also lock/unlock the latch (but not release it) with the central door lock system. • If unlocked, the rear hatch can be opened by pressing the handle (DOOR) and pulling the hatch up. • To close the rear hatch, lower and push down the rear hatch firmly. Make sure that the rear hatch is securely latched.

I had similar problem and it sounds like a short, and a fuse is blown. Check your rubber wire housing at upper corners of rear hatch, in cold weather the rubber gets hard and comes away from hatch frame, and hard to notice, but what happens is wires rub on metal opening and short out. It took a couple fuses to figure out a short had to be problem, and sure enough, the hot lead was being grounded, so taped it up, reseated the rubber junction which is suppose to prevent shorts, should be obvious to check as mine was easy to see problem, seems pass side is trouble for some reason as I have helped others, and always the same side.
CERACOAT-NANOTECH.com

lift the handle and open the latch back out with a pen, or screwdriver.

The same key should be the same for all doors.

there could be a cable running from motor to lock which might be broke or the moto might be worn out causing it to operate but not work properley

I have a problem the back door will not open with key remote or just by the touch pad. That I know of is there a release button or something to open the back hatch.

Fixed this last week in my Cherokee Classic. I started by releasing the hatch catch from the the interior by manually placing a flat screwdriver (something flat) under the catch, pulling the door inward, and letting the hatch open. From here unscrew all screws around the interior panel including the 2 screws under the rubber caps that mount the interior pull handle. Then carefully pull the panel, one section at a time, (carefully...this plastic is cheap) until all panel clips are free and the panel is removed. At this point you will see the inner mechanics of your door latch. Pushing your key fob lock you will see what you have been hearing, and lifting the outside handle you will see what it is supposed to be doing. As you sit in the interior of the car and face the inside of the hatch door, on the drivers side of the latch mechanism you will see a small threaded rod that is attached to the latch mechanism and the catch on the bottom of the door. This threaded rod must be adjusted/returned to the proper setting in order to lift the door catch. This entire mechanism is so cheaply made that you could have something broken in it also....but after finding the aforementioned adjustment mechanism, I realized that it would not take much for this part to self destruct. Hope this helps!

you don't. take it into a Hyndai Dealership and have the handle repaired/replaced. The rear hatch panel/cover has to be removed (from inside the vehicle) to access the hatch latch and open the door.. from that point the handle can be replaced/repaired.

rear hatch is not related i dont think ,if vehicle is fitted with a non factory alarm rip it out they give nothing but problems,If its not fitted with a factory alarm then check wires where they leave the body in rubber trunking and go into door ,especially drivers door as its used most.Try hatch as well if no fault found in drivers door

No easy way to do this - you need to remove the inside door panel from inside the truck and manually release the lock. You didn't say where the wiring was burnt, but when the door is open test for power at the lock solenoid - if not there when unlock is pressed, inspect the wiring (particularly at the two rubber wire casings connecting the door to the frame). If it is there, the lock solenoid is stuck and may have to be replaced.