I do believe I have solved the hands free mode issue. I have a Samsung note 3. This is what I did to get rid of this issue and I haven't seen a recurrence of the problem in the last 72 hours. I turn my phone off several times I restarted the phone several times just to make sure. So far, everything's working just as it used to. Here's what I did...
I recognized that the problem would reinitialize everytime I came back into my own wifi. Would re initialize every time I came back into my own wifi zone. My phone would reconnect to wifi as it does every other day and as soon as the logon was complete the hands free mode would initialize. What I figured out is the problem was not the hands free mode so much as it was locations and location services like My Locations. Before I began experiencing problems with hands free mode I had saved a few locations under the My Locations Service. So, for whatever reason every time I would enter or exit my wifi area hands free mode would associate leaving my wifi area with being in my car so it would drop it into driving mode. And here's where the irritation begins...
Since my router is a bit flaky and likes to drop the connection and then re-aquire it. This was happening about every 15 minutes in my house. I would shut off the hands free mode and 10 or 15 minutes later it pops back on. After reading a few posts on here someone else mentioned something about location services and my locations. Upon investigation I found that I had associated my car with my wifi at this location. And therein lies the rub.
The answer?
The answer was simply to delete all the entries under my locations, restart the phone and go back to enjoying my Samsung Note 3 the way it used to be. No, I didn't have to do a hard reset, I didn't have to root anything, and I didn't have to sit for hours on end with Samsung's Tech support for hours on end, not knowing what I was talking about. Simply delete all the entries under my locations and go back to enjoying your Samsung devices. Cuz I'm already there! Hope this helps you guys because in the overall you guys actually help me solve this mystery. I hope this works for everyone let me know if it does or if it doesn't.
Thanks