The "Sync" wireless phone system may randomly loose "pairing" with the phone in use. This concern has been addressed with a software update which should be available from any Ford dealership service center at no charge.
2013 Ford Edge Problem Reports
RepairPal Verified 2013 Ford Edge Problem Reports
Adhesive for foam blocks in the headliner can fail leading to poor fitment of the headliner and a possible rattle around the sunroof area. The foam blocks attach the headliner to the mounting brackets. Access the headliner and re-secure the foam blocks to the brackets using cable ties / zip ties.
A leaking axle shaft seal and / or PTU cover seal can cause transmission (red) or Power Transfer Unit (PTU) (brown) fluid leaks at the axle area. The axle shaft seal and / or PTU cover seal may be leaking and should be replaced as required.