I haven't been able to find a video, but I did replace the rear drive shaft on my 2014 Patriot. It was really simple. If working in your driveway, back the rear wheels up onto ramps, then jack the front end up and put the front on jack stands. One of the front wheels must be able to rotate. When it's all up in the air securely, crawl under there with a 13mm and 15mm socket, ratchet & 6" extension, and a drain pan.
Start by removing the 3 bolts that hold on the heat shield to the carrier bearing in the center of the drive shaft. Then, remove the 3 bolts that hold the carrier bearing to the underside of the vehicle.
Place the drain pan under the PTU/front of drive shaft. Then, remove the 4 nuts that hold the drive shaft to the RDU. The studs bight come off with the nuts, mine did. If so, hold the stud with a pair of pliers, right behind the nut and remove the nut, then thread the stud back in as tight as you can. I added a little blue threadlocker to mine. Once all the nuts are off, pop the shaft off of the studs, then pull the drive shaft out of the PTU. Gear oil from the PTU will drain out.
When installing the new one, first insert the front into the PTU. Be careful not to damage the oil seal. Then bolt up the rear to the RDU, then bolt up the carrier bearing and reinstall the heat shield. After it's all back together, completely drain and refill the PTU, and you might as well drain and fill the RDU while you're at it. They both need to be done at least every 60k miles.