Well though it appears she did not outright ask for a break here is joekerr's great thread on what "breaks" mean in a relationship...
http://www.sosuave.net/forum/showthread.php?t=126471&highlight=breaks
Also though you may of indeed been at fault a bit for your current situation by shutting down from your woman a bit it shows that in tough times she will not have faith in you to pull through.
She showed her true colors and what she really thinks of you by bailing out on you when you needed her the most.
As for friendship you've gotta deny it man.
"Thanks but I have enough friends" is the only response to give her otherwise you are going to be stuck in friendzone hell with her forever while she goes off and fvcks other guys.
She might do this anyway but at least if you reject her friendship offer you won't be around to see it and be her emotional tampon while she asks you for advice about these other guys and complains about her relationship problems with them to you.
Going no contact ie no friendship is the only way you are ever going to have a chance at getting her back with you in a relationship.
It creates a few great things for you...
1. Establishes that you can do just fine without her and don't need to cling to her and hope so much you will accept something less of her ie the disrespect of friendship when you really want something more of her ie the honor of a relationship.
2. Makes her wonder about what you've been doing and the man you've become while away from her, in short it allows her mind to travel in all sorts of female fantasy directions surrounding you that it wouldnt' of otherwise done had you stayed in the picture. A woman can build a guy up in her mind as being the greatest thing ever far better than any guy's continued words can ever do.
Anyway bottom line is she bailed on you.
She showed that when the going gets tough she gets going.
To answer your original question of "should I get her back?" I really don't think you should.
I think you deserve better than this but at the same time I know how you feel so I have given you some advice that may work to get her back someday.
In the meantime though try and date other chicks and if she comes back great and if she doesn't also great since you will be out in the field with someone new in no time.