I need help finding a movie title

For the Boys (1991)
Only rings half the bell: ex-spouses. Don't remember auditions and/or troops performing.
Hey, Rookie (1944)
He's organizing the show, and she's gonna get in...

Can you remember which war? WWI, WWII, Korea, Vietnam, later?

If it was an American musical (meaning it was financed by American sources), I have a list of those. Here's a link to them with the requirement they also have genre War (which your film may not have; remember IMDb is built by contributors, and when I watched a slew of musicals from Sept2017-Mar2019, I rarely checked if it had enough genres.)
https://www.imdb.com/list/ls021062047/?sort=list_order,asc&st_dt=&mode=detail&page=1&...
For instance, I don't see on this subset of War genre Music/als the film 
Tonight and Every Night (1945)
which is definitely a war film (London is being bombed, people die.) Nor is the 1991 film I started this post with.
You can use the Refine feature to turn off the War restriction, and/or add others.

Restricting with Keywords might help, but again, keywords are user-contributed, so may be absent in the most obvious of cases.

If the film might have been British, you can edit the search shown in the description,  replacing &countries=us with &countries=gb.

It's definitely not as new as 1991. You may be right, it may have been financed by British resources.

Which war: I want to say either WWII or Vietnam.

For some reason, I feel like it was released in '54 (I might VERY wrong about this though). It may have also been shot in black and white and colourized afterwards.

I also remember that one scene in particular shows a chef in a kitchen performing a musical number by banging on pots and pans when he's supposed to making eggs (I think it was eggs) for everyone to eat.

Another scene shows a bungalo type of rooming house (maybe) that doesn't allow its female only residents to have male visitors after either 11 p.m. or midnight.

If more information is required to help track down the title, I'll rummage through my mind as best as I can again.