The Mysterious Case of the Mostly-Vegetable Servo
Is my servo indeed broken?


Yes.




  What's not functioning correctly?


As you said, some of the gears must have shifted in some way hindering the smooth mouvement of the servo or making it simply not working correctly.




  Can it easily be repaired?


Well, it depends on you. Do you like repairing EXTREMELY small things? Are you skilled at that. I would say no, because it requires a lot of knowlage on the servo to be able to remove it, fix it, and not to forget, replace it into its original case. Simply buying a new one is quite cheaper and simpler.