First of all, the servos moving around randomly with the transmitter turned off tells you nothing. The plane isn't receiving a valid signal, so it's responding to any random interference that may be in the area. ANY "orphaned" receiver will react like that. Some do it more than others.

The instructions that came with the plane should have described a range check to you. You leave the plane in a stationary location, and walk away from it with the transmitter, antenna down. Periodically, check the motion of the controls. A helper to hold the plane down and watch for random twitching is almost a must. On a typical R/C setup you should be able to get 20-30 meters away before the plane starts to twitch.

60 meters is not good range, not even enough to turn the plane around. Your plane is probably either damaged or defective. Whether stuffing the plane caused the damage or the damage caused you to stuff the plane.... There's really no way to know. If the vendor is local, I would go to them for assistance in getting the plane replaced under warranty.