Captain reported Auto Throttle; Auto Pilot and erratic AOA indications during climb. During troubleshooting; it was noticed that the Trailing Edge Flaps had failed to retract fully. The flight crew diverted to make a precautionary landing.

Narrative

Upon departure from ZZZZ while maintaining the published departure procedure with multiple rapid altitude heading and frequency changes; we were maintaining a steep climb to make the coast out at the required altitude and speed. We experienced issues with the auto throttles disconnecting on both auto throttle computers. Additionally the AOA indications were not steady and the AOA scale would fail and 'x' out with no further indications. While trying to diagnose the issue we realized the flaps had failed to retract fully. After cycling the flap handle without success we attempted to bring the flaps up with the priority flap system to no avail. After disconnecting the priority flap system the flaps the retracted. Due to our lower altitude and uneasiness with the lack of a reliable AOA indication we informed control of our situation. Control asked if we would like to divert and request priority handling. The controller made it abundantly clear that to expedite the diversion as quickly as possible for us that requesting priority handling would be required. We requested priority handling squawked and proceeded to divert to ZZZZ; landed the aircraft safely and contacted maintenance immediately.