For your last question there exists a solution with two audio taper volume pots and a DPDT switch, making a push-pull pot or a separate toggle switch both possible.
Switch position 1 gives pickups in parallel, each one connected to it's corresponding volume pot working in the traditional Jazz Bass way, ie independent from the other volume pot. Nothing new.
Switch position 2 gives pickups in series, each one shunted with it's corresponding volume pot now working as a variable resistor.
Though technically possible, a drawback however is that in the series combination, pots don't work ideal : starting from 0, volume increase is smooth, but already close to maximum at about 60% rotation with 250K pots. Pots of lower resistance could improve that, but would reduce pickup clarity and maximum volume especially in parallel.
So your volume controls will respond differently in series vs. parallel. Wether that's acceptable, I think that decision is yours. If you want I'll send you a diagram.