Nope, it can 9 months or even longer for your natural periods to fully adjust back to normal after stopping the pill, you may get irregular periods during that time. The morning after pill also throws your hormones out of whack and can lead to irregular bleeding, I’ve seen several people online saying their periods were irregular for several months after taking the MAP. So definitely no need to panic for a while.
I’m not sure about the fertility impact but neither the pill or the MAP affect fertility but obviously your hormones are all over the place rn.