I have my 735xt about 2 - 3 months. Exact same thing happening to. Back button stopped working 2 days ago after beeping excessively with light coming on & off. Luckily stopped but back button still not working. Tried powering it down & up again but not stuck with option 'Clear User Data' Yes or No. No matter which option selected brings me back to same screen. Really disappointed at present as was loving my Garmin.
Also what do I do now??? Who deals with this. Where do I send it back to????
Depending on where you bought it, you could either contact the seller, or contact garmin support and they tell you what to do next.