My advice is to push on each and every door.
The process is a two way interview of sorts. Remember that you will learn the respective 'corporate culture' of each service while you are applying. You need to be comfortable with where you serve. If not, you will be miserable.
If/When the door(s) open, pause & evaluate the available options, then make a move.
I started the process with a certain goal and ended up on a completely different path. In hind sight I am extremely pleased with the way things turned out. Be Flexible.
Be relentless, energetic, and flexible.
P.S. Research the differences between the Active Duty, National Guard, and Reserve Components of each branch (if applicable). Draw a career map and see what fits you best.
Good Luck