I haven't solved my problem of transferring my tracks to my new phone - I'm at a loss of ideas.
To get rid of the false start points, after the track is stopped, click on 'All Tracks' on Streams page, then the track in question. Click on the trail name at the top and at least two entries appear - click on the one that says 'Tracking Android'. Then scroll down the page until you get to the individual data points. I forget now which points are shown first, the start or the end. But then just start deleting them by long press to select and delete until the bad data is gone. I takes some guessing but sometimes you can tell which are bad especially if the initial bad data is while going high speed in a car. Unfortunately, deleting the data points doesn't seem to effect the summary of the trip - ave speed, top speed, etc.
Hope that helps
Doug