First, make sure your Musescore is up to date.
If you place a fine in the score from the palette, it should stop playback there. Then you can make it invisible.
And this seems easy once you read it: to skip over measures, place invisible D.C.s and segnos and/or to coda and coda marks.
If it's not behaving as expected, check that Musescore is up to date and also check the inspector for each element for a "play" checkbox. Make sure it is checked. There might also be special element properties that control playback that might have to be edited or verified.