We are buying up all the caulk in Huntington

Well, on Saturday we found out why the foyer ceiling has water damage. Steven managed to clean out all the old grout and there was an inch gap between the tiles and the bath tub. Even worse, as far as we could see that there was no backer board behind the tiles. I guess it must end somewhere up that last course of tiles but WTH were the tilers thinking?
Steven was just working out how best to caulk this again so we can use the tub for the next few months when we got a call from our handyman to say he could start back on Tuesday and finish up all those jobs he had to leave when he damaged his knee. We were so thankful to get this call, but I'm not sure the handyman felt the same when we regaled him with the list of extra things that had gone wrong while he was away and now needed to be fixed.
He was pretty appalled at the mess they'd made of the tiling, especially as the actual tiles are in good condition and were obviously expensive. He had two thoughts - a border of tile edging around the tub or ripping the whole lot out and doing the job properly. We are obviously going with option 2 but not until after the house-guests leave, so for now he is building up the caulk, one layer each day until we are leak free.