Good question on the pots???

Mostly 250k for single coils and 500k for humbuckers and also different capacitor values too.

Gibson website for current LP Jnr link is here http://www.gibson.com/Products/Elect...-Jr/Specs.aspx
and states...
Electronics
Potentiometers 1 Volume Control, 1 Tone Control
Type 300k Linear Volume, 500k Non-linear Tone
Coil Wiring Machine Wound
Output Jack 1/4" Mono

Hope this helps a bit.