Abbey, please, PLEASE understand that it is NOT UP TO YOU to pick your ideal job and when you will work. You are single, about 30 if I've got it right, and you are still drifting with no direction. You have a lot of years to come. Mr. Right, who may take all problems from your shoulders, does not exist - there may be a Mr. Right but you'll need to pull your weight even if he turns up.
I don't understand the problem about 1 Sunday in 4. You have never said that you are a devout Roman Catholic (which is the only reason I can think of and even then these things can be arranged). So it looks like idleness, a reluctance to put the job first.
It seems as if you want to work to your rules, Abbey, and I'm sorry, but that won't wash with employers. Please sit down and think very carefully about your situation. How you are managing rent/food/clothes-wise I haven't a clue.