YES
Take your cat to a vet, then let the vet clean your cat with a "special" shower. Basically they put it in a shower and clean it very good!
No, it is not bad to shower after eating; you can eat and then shower right afterwards. You should not swim right after eating.
My cat has rabbit-like fur so I think that you can
No everyone does it
No
Great ... you can have a duet - or a sing-a-long.
That is very bad indeed. You should be showering every day. I shower twice a day.
Cats may sit in the shower after you shower because they are attracted to the warmth and moisture left behind. They may also enjoy the sensation of the smooth surface or the lingering scents.
short answer......yes
take a shower!!!!!
A hot shower is not necessarily, nor directly bad but accidents like slips and falls are increased which may have extremely bad outcomes. There is also no real reason to take a shower because it will not sober you up. Best advise is not to take a shower to avoid these risks.
Cats may meow at you in the shower because they are curious about the running water, want attention, or are seeking reassurance from you.