Should i break up with my girl?

She has been telling about some time off, but when i ask her to break up with me if she doesnt love anymore she said no, i love you... but one day she was fightin with her dad, cuz he doesnt let her go out without me, n she said well i will finish my relationship with him tomorrow. and after that she invite to the beach a female friend she just meet, since i had to work she didnt even ask me, not even for the weekend.