Teenagers are difficult, especially females and especially smart ones. My 15 year old goes through cycles of extreme disrespect, thinking that she is retired and queen of the castle. Her "hating" you is most likely just a weapon to get what she wants or to injure you because she didn't get what she wanted. Try very hard not to take it personally. She really does love you even if at the surface she may not like something that just occurred.
I recommed (as suggested) teaching that the car is a privelege, not a right, by having her "earn" the car keys. If your disability prevents you from driving at times, I understand it may be difficult, especially if she is your chief errand runner.
The trip to Germany is also a privelege (especially since she will be underage) and can be taken away. HOWEVER I suggest praising her for earning her own money for it, and tell her how grateful you are for all the help she DOES give you, no matter how small (and be specific, like "thank you for picking up the clothes," or "unloading the dishwasher, I really appreciate it.) The more praise you give for the good she does, the less "hate" she may show towards you. But it will only happen over time, so you have to keep at it, even if you think it is not working. She will hear you, even if she isn't "listening" and your example of kindness will return by her actions. If not now, ten years from now. (I actually apologized to my mom for treating her the way I did as a teenager, when I was 22)
And above all, if she is not breaking the law or putting your family in danger do NOT lock her out of the house . That's insane.