Don't psych yourself out. Your situation presents more experience than a brand new, never worked as a nurse RN graduate. Approach the RN program from the standpoint of "this is nursing school for RN", not that others will have more prior experience than you.
If you want to work on weekends or at the hospital, or anywhere else for that matter, approach your job search from the standpoint of "I have limited experience but I am willing to work hard and learn as much as possible". As for working in LTC facilities, don't sell yourself short. Many an RN got her/his start there and went on to gain valuable experience to work elsewhere. You can too.