^What AR said.
Not terribly uncommon either, sadly. There've been dozens of these postings throughout the years here. Ancient (Gibson) guitars, and newer. A characteristic of lacquer finish.
Edit: *And overzealous tuner-tightenings.
It appears you've eliminated the bits as the problem if you've tried other brands of bits with the same results. Sounds more like the drill presses' main shaft is bent. It's done. One can usually find decent enough benchtop DP's in their local classified sections (Craigslist/Marketplace) for...
Personally, I'd flip 'em. I have no idea if that has any effect on the hum-cancelling of the two when in the middle position (I just don't get that reverse winding stuff, as I'm a dolt when it comes to electronics). Have you tried just lowering the neck and raising the bridge to balance?
Bear in mind that the dogear pickups on the Coupe are metal and the pickup is SOLDERED to the metal cover. It is not an easy pup swap kinda thing. The metal covers are bent to fit the contour of the arched body too.
Good luck with what you decide, but be warned.
My friend, I haven't a clue. Not at all familiar with Epi guitars. Models, types. Nada. Since it's a new guitar, check the website with the model name (or just Google it) and you should get some specs, one way or the other.
Glad you're enjoying her!
And, I'm glad you had the initiative to check first. I've seen WAY too many threads here where that practice was not adhered to and man-o-man, way too many "Sorry. Too late, pal." stories. Beaks my heart.
Rock that beastie, and throw a pic of it in here sometime. :yesway...
As you look from the headstock toward the bridge, it is just like a screw/nut and bolt. So, yes, "Lefty-loosey"/"Righty-tighty".
Tightening (right turn) will counter the tension of the strings, thereby straightening the fretboard/neck, and thereby bringing the neck to the same straightness of...