don't Swap Names Between Tracks
If the tracks on a release seem to be in the wrong order, do not just use a EditTrackNameEdit to change the titles to match the order you believe they should be in. The TRMs for each track are generally tagged based on matching titles, and if you change the names in this way, they will be associated with the wrong tracks.
Instead, you should reorder the tracks using EditTrackNumberEdit
Also, remember that it is common practise to release several different versions of an release, which should be kept separate in MusicBrainz. Before "fixing" a release, make sure that you're not destroying a valid release listing. If there is a DiscID for the release, that's a strong indication that this track order is valid.