Hot Start Issue Choke stuck?

The braided hose looks to be attached to an EGR valve on the intake manifold and a temperature actuated valve on the radiator.
Thats EGR. It also probably has OSAC which is a PIA and annoying.
Not sure what is going with the two idle speed screws in the right hand photo. Most emmissions era carbs have a solenoid actuated idle stop.
The inner screw is for the fast idle. Position of the cam under different conditions is shown in the film mentioned above. Setting will be in the service manual.
Its possible your combo didn't come with an anti-dieseling solenoid. If so, that's great.

Check at the voltage regulator. If it is 'seeing' 13 volts, when the voltage at the alternator output is 15, its because there is resistance in the wiring. The regulator is doing the correct thing based on the information it is getting (system voltage is lower than target of approx 14.2 Volts)
A diagram main circuit layout for your car look something like below.
Open circles or squares represent connectors.
Solid circles represent permament connections (splices).
Main_charging_wires_pluss73-run.png
Dashed arrows represent current flow with the engine running. There should be no voltage drops between the alternator output and the equipment its running. A couple tenths is acceptable.
When taking a voltage reading at the battery, look at the ammeter. If the battery is taking a charge then current is flowing in that wire as well and a voltage drop might be observed in that line ifthere is resistance.