Awww I'm smiling at the goggles, because one of mine was the same, he even one time tried to bring a snorkel in with him.
Out of my 5, and they're all different, the one thing they all hated was the shower, they were all afraid of it. So I knocked that on the head.
For the bath, my goggle wearer, a tip a swimming instructor showed me was to fill a plastic cup, pour small amounts on their hand, then their arm, then their shoulder, then the side of the face avoiding eyes. Do it slowly, tell them what you are about to do, it takes a good few times to build up the trust. Then for washing hair, I would wet a face cloth, wring out slightly, rub over hair, small amount of shampoo, Johnson and Johnson no tears was best wash hair gently, then fill cup but only pour down back of hair, then slowly do each side, you will have built up trust pouring on sides of face, if they're still nervous with the sides, what I did was soak face cloth, wring out and rub out shampoo on top of head and sides, it takes a few times but they will be calm. I gave a dry face cloth or small hand towel for them to hold against eyes and had a dry towel beside me to keep wiping their face dry. It can be a little longer to do bath but so worth it. I made sure they had plenty of bath toys, things that strick to the sides, bubble machines you name it, or even just a few empty bottles or cups they will enjoy too.
It's fairly common and I wouldn't worry about it, they'll change every year, they'll start enjoying baths around 10,then they won't wash through pre teens and then they'll hit 17/18 and you'll never get in the bathroom as they'll be on their 5th shower of the day lol
As for lounge wear, mine always wore either tracksuits or casual lounge wear. They never sat fully dressed in jeans or dresses socks and shoes and jumpers etc, sure I do it myself, I don't like pj's as they make me feel like I'm ill, so wear leggings and t-shirt when hanging around. You could bring them to penny's /primark and pick up some casual bits that don't look like they're in pj's, they're at a good age to start this. It's not too late. I just got mine into the habit when very young that they had to be out of pj's before coming downstairs.
With regards to the amount of baths, that's fine. If you think back to your own childhood and I'm not sure your age but kids didn't have nightly baths. The handbasin was filled and we washed from head to toe, I'm an expert still at lifting my feet up into a handbasin lol
You're doing great, do what works for you and just put plenty of towels covering the bathroom floor for bath time, forget the shower and leave that till they're older.