Yes and yes.
Lowering action/set-ups are a process...
Insure the wood is as acclimated as it can be to your normal playing environment; this includes moisturizing the fretboard if needed/desired.
Relief, nut slot height, tremolo baseplate height(and angle if necessary), saddle height and then intonate
I've gone as low as I can with the factory fret job; I have some fret out at about the 19th fret and higher. When I change strings I plan on a leveling frets with fallaway, re-crown, re-dress, de-burr the fretends and polish.
Then I repeat the aforementioned process.