Please note that skins are only accessible in New Game Plus, Challenge Maps, or Multiplayer.
If you have purchased or unlocked skins for Single Player, you can access the Batsuit Chamber in the Batcave to see what skins you have, but you will not be able to use them in the main story until you have finished the game.
For multiplayer, skins can be accessed in character customization once you have unlocked customization in your multiplayer progression.
Please also note that if you purchase or redeem a code for a skin, you may need to download the skin via the in-game store in order to gain access to it in any of the content listed above.
If you are still experiencing problems with a skin after following the steps above, please submit a support request by clicking the "Home" button above and then selecting "Ask for help" on the Support Center home page.