Is the inside of the door plastic or something similar ?? Probably is... you will need to change it... Use something like 20 gauge cold rolled steel... Do not use aluminum..
In order to get the door skin to fit AND have the door close properly, you will need to set the door in the proper plane when securing the door skin....
Remove the door, place it on the floor... shim the 4 corners with wedges until it is perfectly level in all directions...
To check for it being in plane, using sheet metal screws, put 1 in each corner.. tightly draw string between the corner screws forming an X in the center of the door... Tweak the shims, on the corners, until the strings just touch in the center X... NOW the door is in plane and it will fit a perfect seal.... Believe me when I say this.. It took me some time to figure out how to get the door to fit perfectly, to the fridge bodies...
place the new skin on the door and secure it with sheet metal screws or pop rivets.. I personally like rivets.. trim the skin... I use an angle grinder with a thin cut off blade... re-attach the door... measure the gap... then secure what ever it takes to fill the gap.. wood strips will work... glue using 3M 5200 and a few screws.. Then attack gasket material for the "Air Tight" part of the seal... Test fit the wood strips with the gasket material to insure the door will latch in it's ORIGINAL position... very important...