Hot Start Issue Choke stuck?

It was just getting over 120 degrees, I haven't really been able to get it super hot idling. It's about 55 degrees here in Vegas.
I'll tell you what I see. But I think your best bet is to look through the tech bulletins to get yourself up to speed on the carb and choke concepts and what should be on your car. You'll probably be able to post some more photos with specifics on whats on there now.

The braided hose looks to be attached to an EGR valve on the intake manifold and a temperature actuated valve on the radiator. The EGR valve, if it is one, is opened when engine is warm, the throttle is at least slightly above idle, and the manifold vacuum is high. Since there is no hose to a vacuum source, its out of the picture for now.

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. Cars with A/C often have a two position solenoid for slightly higher throttle opening when the A/C is on.
The fast idle cam and fast idle screw is usually on the passenger side of the carb.
Verify my observations are specific to your car. Each year and combo is a little different. On your two barrel carb one may be for throttle stop[position w/o solenoid and the other might be fast idle.
There's a thread somewhere in the Tech forums, I think its at the top, titled something like Free Manuals. That should lead you to a '74 FSM. Dodge will be similar if you cant get a Plymouth one right away.