Hello datafox: It just sounds to me as though your girlfriend is pretty-much not in control of her emotions. Perhaps either the amounts of the med's she's taking are incorrect, or they're ineffective, or she's not taking them consistently. And as a result she blows up at trivialities & her perspective with regard to such things as you picking her up at the airport, when you don't drive. is skewed.
My off-the-cuff opinion, for what it's worth is that this is a relationship that is not working. There's a saying I use occasionally here on PC. "If you want to know which way the bullet's going, look down the barrel of the gun." If you go back & re-read what you wrote here, you'll be able to see where this relationship is headed.
You asked if this is normal. Unfortunately, it may not be that far from the norm. But that doesn't make it healthy. I don't know how serious this relationship is. If it is just casual, it may be just as well to put it on the back burner, as they say. If this is a serious relationship that you want to see expand & endure, then I would suggest that perhaps the two of you consider participating in some couples therapy to help the two you to understand each other better & to learn more effective communications skills. Your gf may, perhaps also want to have her med's reviewed. If perchance you or your gf are not open to participating in these kinds of efforts, here again, this may be a signal that both of you need to reevaluate how much more time & energy you want to put into the relationship. Good luck.