John,
No real effect from the magnets as long as the wires can't move in the magnetic field. If I were you, the thing that would cause me the most concern is having the crossovers themselves inside the box -- vibration can have an effect on the caps and inductors. Is it going to and will that effect be audible, I have no idea and no good way to predict -- I'd think the layout of inductors on the crossover board would be far more important, but without experiments it's hard to say and you'll probably be fine just by leaving it all alone. Generally I prefer solid to stranded wire, but again, the type of wire and dielectric is probably more important.
There are a zillion variables here, so probably best to just go with what you have and then try changing one thing at a time to dial the final sound in.
I've always been a fan of small gauge, high-purity solid copper wire, but Clark now has me rewiring my Nagas with huge (10 gauge) stranded wire -- though I will strip off all the insulation and put a natural, unbleached cotton dielectric on them and then retwist them. Will that do me for the long term? I have no idea but it's cheap and easy to do.
HTH,
Jim
Jim Rebman -- recovering audiophile
Equitech balanced power; uRendu, USB processor -> Musette DAC -> 5670 tube buffer -> Finale Audio F138 FFX -> Cain and Cain Abbys near-field).
s.e.x. 2.1 under construction. Want list: Stereomour II
All ICs homemade (speaker and power next)