No, it is not a limitation of the trial version.
Make sure that you are either viewing in UTC or that you have the timezone set correctly for the track, and also make sure that you leave the edit window for the time (e.g. tab out of it) because this is what triggers the update to the database.
I can't reproduce that behaviour here but if the problem persists then please send your track file through to This email address is being protected from spambots. You need JavaScript enabled to view it.
along with details of the timezone you are using and I will look into it.