I tend to agree with many others here that much of what you describe, especially at roost time, is quite normal. I realize the coop/roost size is a big contributing factor. However, chickens will act like this at bedtime no matter the size of the coop or how much roost space there is. I have 19 hens in a 10x12 coop with a 6' roost bar and two 9' roosts. 24 feet of roost space and those a**holes are beating the
out of each other nightly to jam themselves into the back 3 foot corner. I cut plastic lattice and made roost dividers (sort of like what
@kattabelly is suggesting) which helped a lot, although I know it would be really hard to do in an Omlet coop.
One of my favorite BYC members (R.I.P., aart) referred to it as the "Roost Time Rumble" and it is FACTS! I have a camera in my coop and I just don't watch them at bedtime. "Why are they acting like animals?!?!"
During the day, they're all fairly peaceful, but when it's time to roost, forgetaboutit!
The food and water issue, like others have said, seems pretty normal. You likely wouldn't notice it as much if you had more chickens
. I know that sounds "hensane" at this point, but with only 2 other chickens to compete with, it's much easier to "guard" the food and water.
(I'm not necessarily advocating that you get more chickens, but I'm not NOT advocating for it... 
)
It sounds like you're doing everything right and you're a wonderful chicken parent. I also think normal chicken behavior can look absolutely horrifying to us tender-hearted humans who believe in civilized communication and behavior. Whatever you decide to do is the right choice for YOU, and I hope you are able to find peace in chicken-keeping at some point!
