Welcome to allnurses!
I don't mean this negatively about
you, personally, at all, but I would guess that the reason you got offered the job is because they can't get anyone more experienced to take it and
there's probably some good reason why.
We get threads on this board periodically from relatively new nurses who have been hired into supervisory positions (typically in HH or LTC, it seems) and are finding out, after being in the job awhile, that conditions in the facility/agency are horrible, the owners simply wanted a warm body to fill the position and "take the fall" if/when the time came that a fall needed to be taken

, and they're in 'way over their heads and don't know what to do.
"What have (you) got to lose at this point?" How about your l
icense??
I often find it helpful to reframe these kind of questions -- you say that you're not sure you're up to supervising and teaching others. Turn the question around -- would
you want to be supervised by
you (someone with your current level of skills and experience), or would you feel that that person was not qualified/equipped to be leading and directing others? Would
you feel confident about having that person as your supervisor/boss?
Again, I don't mean any of this to be critical of
you. There are lots of unscrupulous employers out there who will take advantage of newer nurses and put them in very dangerous situations because it meets
their (the employers') needs and they don't care what happens to you. If you crash and burn, they can always get another wam body, but
you only have
you. Part of gaining experience as a nurse is becoming savvy and cagey enough to look out for your own best interests (because no one else is going to!

)
Three different jobs in two years, with (only) nine months total of experience in that time -- you're right, you need to be v. careful about your next job. IMHO, it needs to be in some setting where you'll have plenty of solid supervision/support, not a job where you're the supervisor! I would encourage you to not be so quick to give up on acute care, bedside nursing -- you haven't been in any single job long enough to give it a "fair trial" yet. Since you asked for advice, I would suggest trying to get a "new grad" type bedside nursing (med-surg, or a specialty that particularly interests you) job and
stick with it for at least a full year. (Two years would be even better, in terms of your resumé -- you can get away with
some job-hopping at the beginning of a nursing career, but you're already pushing that idea pretty far ...) I would strongly encourage you not to take something now for "a few months" and then try to change jobs again. If you really want to move home, start looking
now for a job at home and do what you have to do to make that work when you find something (even if it means breaking your lease and taking a loss on that -- maybe also start looking for someone to pick up the lease for you? Some landlords are okay with that) But don't put
another job of only a few month's duration on your resumé!
Best wishes on whatever you decide! Be safe out there!