That all looks right to me. I just did all the oils (diffs/transfer case) in mine and had the same parts direct from the dealer. Just match them up as you go. Don't forget to loosen the fill bolts first!
I went here and ordered one. https://www.remotesremotes.com/ It looks perfect and functions great. My only complaint is that the range isn't so good so you've got to be closer to the rig for it to work. They have quick shipping and include programming instructions which worked great. It cost me...
Depending if it's a front wheel or a rear wheel that is flat. It's a bit more work but you could always swap a rear wheel up front and put the spare on the rear.
Looks good! Man what a pita that job seems to be. I noticed my rear shock tops were a bit rusty also. I'm going to try cleaning them up thoroughly and applying Por-15 but i think i'll wait until the weather breaks.