Welcome! I can definitely tell you from experience to stay away from the first gen. body armor tire carrier. Had mine open up on me a few times before I used a bungee cord for extra security. I see that they've since redesigned the latch. Good luck.
Welcome to wayalife. I have a 2013 as well and have the Poison Spyder RockBrawler II Rear Bumper with Tire Carrier. I like that it attaches to the rear tailgate. Twisted was talking about the 1st gen body armor tire carriers. I had a Smittybuilt on my last JK and wasn't a fan.