Newer homes can be hit by termites as easily as a fifty-year old crib. They're not picking on you. BTW, a requirement of most mortgage companies is a Wood Destroying Insect Report. These are limited to visual inspections only so no wallboard is cut into or shower pans lifted.
I note in the photos some water damage to the floor joists along with some minor termite activity. The cellulose in wood and wood products -note the paper missing on the drywall- is what the little rascals are after. They feed on it... tastes much like my ex's cooking. :-P
Moist soil is termite heaven. Termites can only survive in moist soil and darkness. Hence, they will build hollow tubes of mud up foundations, pipes, framing -whatever- to reach their food source.
Suggest you look very closely at the area where the plumbing risers enter the structure. The rubber sheathing is no barrier for the hungry buggers. Also, tub boxes, the square hole through a concrete slab, are necessary to prevent water leaching out into the home if the drain pipes leak heavily. See where we're going here? An opening directly into your home, darkness, soil, possible moisture in the soil either from a small drip or ambient conditions... Welcome termites! Supper's ready.
For background reference, in another life in a galaxy far awy, I carried a Texas Structural Pest Control Board license which included real estate inspections and consulting. Crawled many a house...
Also, there is always an expansion/contraction issue where tile meets plastic. Grout the tiles but use a mildew resistant caulk at the tile/pan junction. It has to flex a bit with temperature changes. That's where grout cracks get started... and water leaks... and termites.
Repairing and upgrading the shower area is no biggie. Actually, I did basically the same thing in my master bath area last June. I cut a hole through a wall to remove the old bathtub and install a new one. They was easy as all the ceramic tile was taken down, I, too, found evidence of some termite activity. Replaced a couple studs, reinforced a few more, did some plumbing pipe upgrades.. then called an exterminator (former brother-in-law) and had the tub box treated while it was wide open.
Tub in. HardiBacker over the studs, then new ceramic tile and fixtures. My labor was free and all materials and support goods came to less than $500. Had an estimate pushing 4K. My brain sez I made $3500 extra during June.
I recommend the Home Depot DIY books for anyone attempting home improvement projects. Be it electrical. plumbing, tile, whatever. Reference information is the best tool in the shop.
Monte