For the coupling, just search "3mm shaft coupling" on ebay etc.
Examples - rigid:
Size: 3mm. Material: brass. Great accessories for RC Model motor, such as airplane boat model.
www.ebay.co.uk
Flexible, for eg. if the extension has its own bearings:
These couplers join stepper motors to leadscrews for any DIY CNC project. Flexible Shaft Motor Coupling Coupler for CNC / 3D Printer. Flexible Shaft Motor Coupling Coupler. Each coupler orderincludes the necessary grub screws.
www.ebay.co.uk
Imperial sizes are less common, but you should be able to drill a 3mm to 1/8" if needed.
For the 3V unit, what current does it need?
There are numerous versions of buck converter modules available, that could be used - but be aware the power or current ratings in adverts like these are often rather exaggerated, eg. possibly the current they can stand for a fraction of a second. Always use one that is advertised ate 2 - 3 times higher than you actually need!
Also, if a motor is involved, the initial current can be far higher than the measured running current, so you need a power supply that can take at least five times the normal current, for a short time.
This type is OK for very low currents, but I've had one fail at well under 1A...
Output Current: lowering the value of 3A, long 1.8A. Mini-360 (ultra small size DC-DC synchronous rectifier buck module). Module Properties: non-isolated buck. Load regulation: ± 0.5%. Output ripple: 30mV (no-load).
www.ebay.co.uk
This style is fine for possibly a couple of amps:
(LM2596 DC-DC Buck module. Power (3-40V), power indicator light, the module is working properly. Can't booster). Output Current :3A( Max). Output ripple: <30mV.
www.ebay.co.uk