Welcome to the Pet Rescue Community
Do you need help with your game? Ask the Community for help.
It sounds like your Facebook has stopped saving your progress at 271, so no matter what you do it's going back there. Can you check what level you have on actual PC facebook? See if your levels have been saved there which means at least they are safe.
Check out the video below for a little help connecting to facebook properly (the android version is on the right)