Re: Bridge p/u in Neck position
Push-pulls have two rows of three lugs in the bottom "box" section. When the knob is down, the bottom 4 lugs are on; when pulled up, the top four are on. This means the middle pair of lugs is always on, and the top two & bottom two swap. For coil cut, you solder the red & white wires to a middle lug on te epush-pull, and a short ground wire to the pot casing. When the knob is down, both coils work & you have normal HB mode. When the knob is raised, the one coil (red & white wires) is paired with the ground & therefore shorted out, giving you single coil. Because there's two rows of lugs, you can do one PU's red & white on one side, and the other PU's on the other side. Both are single coil at the same time. Two push-pulls let you operate coil cuts independently, for a couple more tonal options.
I forgot about the middle single coil you're putting in (I normally think in terms of Gibson designs). With independent coil cuts, you can pair a neck coil with the middle PU, making a "virtual" HB in parallel, and the same with a bridge coil & the middle PU. Lots of tone options between the 5-way & push-pulls (at least 14 combinations between the 3 PU's).
The one downside to using a 250K is that while it warms the bridge PU, it will also warm the neck, which may or may not be an issue (that's up to you). Some guys love the JB with 500K's, others say it needs 250K's (the way Seymour originally intended it), and still others say it needs a warmer magnet. Then there's a insubordinate group of us (me included) that think it's "ice pick" spike is too bright & harsh no matter what you do. So what's right for you, that's your decision. The easiest approach may be to use 500K's for volume & tone, and if the JB winds up being too bright, put in a warmer magnet (A2, A3, A4, or A8). If you want to try an A2, I've got a pile of them I've taken out of Gibson & Duncan PU's; I'll give you one.
As far as electronics, remember every electrical part has a hot wire & a ground wire running to it (PU's, pots, switch, & jack). Leave of the hot wire to something & the part doesn't work; leave off the ground somewhere & you get a lot of noise. The inside of a guitar looks like spaghetti to the untrained eye, but its really very organized & logical.