Quoted from oldschoolbob:
...I know how valuable time is for a working man with family. (been there)...
Actually, I'm an old fart nearing retirement.
Our basement is our date room. Theater, bar, and the pins. Pretty much got all the bases covered for a good time. Friday and Sat are almost always pinball tournament night between us. Problem is, spouse has most the high scores. Oh well, I guess I'm just destined to be the pin maintenance man.
2K resistor: As always, it's your call. I just try to point you in the right direction. Won't hurt anything if you don't. If the +12V doesn't appear to work, then add it. At 2K, you can use a 1/4W resistor, it will only dissipate 72 mW (that's the reason I picked 2K). A 2K resistor would only draw 6mA - but plenty to turn on Q1. Even a voltmeter has a large amount of resistance...that might be enough to turn on Q1, just not very well.
I drew the schematic with TinyCad, an open source program. Never used it until 5 min before I drew your schematic. Very easy. You can get it here: https://www.tinycad.net/