Should I break up with her after today?

I'm sorry, but international calls really are expensive. I'm going to be in Australia for several people's birthday back in the states, and I'm not going to be able to call them, either. I don't know about her computer accessibility while she's out of the country, and neither do you, I would guess.
Wait until she gets home and discuss it with her before you make any decisions.

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You need to calm down. She's prob having fun and lost track of time. maybe wen she gets back she bring you somehtin. Quit worrying

Before you do anything drastic I think you should wait your birthday out (by the way happy birthday!) and see if she calls (I thought my friend forgot my birthday all day, but she called round that night to give me a present so I was wrong there) or comes to visit etc. If she doesn't then the next time you see her talk to her about all of this. Say you think you're falling apart etc she doesn't care about how you feel etc. If she acts disinterested in the conversation, ignores how you feel or continues her behaviour, then you should break up.

Talk to her and see why see has no interest in talking to you about birthdays or about the relationship in general. It is very drastic to break off the relationship because of the silence. Try and work it out with her, if she doesn't seem to care, or doesn't want to cooperate, then you should break it off. Hope it works for you.

She may be planning a surprise for your birthday.
If she has forgotten then it seems this relationship means more to you than it does to her so there seems no point in going on with it.

did you pay for her trip? if so then boo dump her Because she is all about her right now. AND if she doesn't call by a least 9pm tonight to say happy b-day then say bye bye to her & hello to the club. But if you come home and there is something nice layed out for you then she's ok but tell her about her selfishness latly.. Happy B-day boo

It's up to you but seriously, she doesn't seem to care about you, at all.
If you are questioning this relationship you obviously sense that something
is wrong. Talk to her, and if she still puts on the careless attitude about you
and her relationship, maybe you should end things. A relationship makes no
sense when only one person cares....

I'm sorry, but she is not your girlfriend and you don't have a relationship to break-up. If she were your girlfriend, she wouldn't be treating you like this. My advice...completely ignore her...do not text, do not call...do not instigate any type of communication. Just see what happens and by her actions, you will know what to do.

I would run away so fast.

Yes, you should break up with her. If she cared she would have called you, for bother occasions. Nobody is far enough from a phone that they can't call, unless you're in the middle of the green forest with no satellite phones.

Nut up and don't be a doormat.

At least wait till tomorrow. Call her and see if she even remembers your birthday I would just say since you are so selfish that all you care about is you I don't want to see you any more.