2. Try a different source such as a wall socket (if you already tried doing that with a wall brick, try a different one).
3. Turn it on an listen to % charged. Charge for a while in the off position and see if the number changes
4. You can call Bose for support, but they don't normally repair QC35's and you are out of warranty and so they will offer an exchange but unfortunately it's going to be rather pricey.
P.S. - Bose will probably suggest you re-initialize the unit back to factory settings. That may work but is a long shot. Updating the firmware if it is not the current one will also be suggested but that is also a long shot.... as is un-pairing everything from both ends.