I can’t imagine an accredited school of nursing that would not be transferable , what school is this ? At the very least your prerequisites should be transferable to another college! If that is truly the case , I am sorry . You can do an LPN or ADN program, good luck!
It seems a bit low, in NJ RNs with ped experience (trach and vent specifically) are around $32, depending on the acuity of the patient . The salary is higher also if you’re doing the overnights or weekend shifts . Once you’ve been doing it for a while you maybe able to bump it up a little. Typically, homecare pays less than the hospital in my experience