Wobbly higher frets

IMHO there are several reasons for that:
1. The pickup magnet is too close to the string and its magnetic field pulls the string affecting the pitch. You can try lowering the pickup at the G string end.
2. The sting itself has bad breaking point at the nut or bridge saddle. while vibrating it touches either of them in several points which results in different pitch harmonics making that chorusy effect. Closely check the string path, reset the breaking angles if required/possible. if not - replace the string.
3. broken or over-stretched string. its wingdings interact with each other producing these out-of-tune harmonics.

 

Ceiling fan does it for me.... gotta turn that thing off

 

#4 The string twisted upon itself during installation...very common. Best thing you can do is slacken the string completely then re-tune while allowing the ball end to turn freely 'til it engages the bridge anchor plate. Variation: remove the "coil" from the tuner post. It should assume a twist-free orientation. Manipulate the entire string length, if necessary, slide the coil back on the tuner post and tune to pitch.

Riis

 

Classic Fender Pickup String Pull Phenomenon (FPSPP). I have only ever experienced this with Fender basses, for some reason. Lower the pickups/raise the action to get more space between the bottom of the strings and the top of the magnets.