Long-distance relationships are not easy, and for me it’s not advisable for you to enter a relationship with the new girl.
As for the first girl, it’s better to take a break for now. Your on-and-off relationship isn’t healthy.
Regarding your situation, it may be better to just wait for now and let things settle. Focus on yourself first, keep yourself busy, do other activities, or meet new people who may be more compatible with you.