A couple of solid hunches.
This video may be helpful:
At about 1:20 into the video, you can see what appears to be the back side of the shower nacelle with the plumbing attached. At about 2:05 into the video, you see a typical faucet attachment nut (black).
1. The shower nacelle is attached only with the outside screws. You may need to coax it off the underlying gasket material and clean up the remaining mess, but there won't be any attachment points other than the 10 screws holding the box against the fiberglass body. If you buy an entirely new box (HIGHLY RECOMMENDED), it should come with a new gasket. It also comes with a new faucet and shower hose and head.
https://www.amazon.com/rv-outdoor-sh...outdoor+shower
As you can see from the Amazon offerings, these things are pretty generic.
2. The faucet will attach to house plumbing with "nuts" on the ends of the PEX lines. Treat these with care, because these will be the only 'headache' in the replacement process. Some waterpump pliers (shown in video) may be helpful for removing them from the back side of the faucet. Since you'll be holding the hole nacelle and faucet in your hands as you stand outside, you'll have a good, easy "attack position" for disconnecting the faucet. NOTE, the nuts should only be tightened to hand-tight, with PERHAPS, a sight additional snug with the pliers. If you really crank on them with pliers and break the nut, then you need to get into replacing the fitting using pex tools.
When you remove the box, then you remove the water line nuts from the back of the faucet, and then put it back together in reverse. Don't forget to add your gasket for the nacelle box before you attach the plumbing. You may get away with stretching it around the box if you forget, but it's far better to add the gasket before attaching the plumbing.
BEFORE YOU PUT THE BOX BACK INTO THE WALL OF THE CAMPER, PERFORM A LEAK TEST. ATTACH TO CITY WATER (AS YOU DO IN A CAMPGROUND), TURN ON THE WATER, RUN THE SHOWER UNTIL ALL AIR IS OUT OF THE LINES, THEN LET IT SIT FOR A WHILE AND WATCH.
Other potential issue. The hole for one or several of the screws holding the box in place may be "stripped out." The hole will no longer hold a screw. This stuff is great.
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1 Put some of the goop in the bad holes. Ever so gently put the screw in just barely attempting to tighten it. Let the goop do its work. I used it to reinstall drip edge over my slide. Two screw holes were stripped out. Works great.