Lemmi, what kind of distributor do you have? I see no hoses at the front of the carb for a vacuum advance. Maybe it is plumbed into the back of the carb?
I could not pull up the videos, that could be my computer or more likely, me.
Hopefully a heat shield on the starter will help. Do you have a charger on the battery while the car sits? The battery may be somewhat weak from sitting around. A good auto supply (at least here) can put a load tester on the battery and determine if it might have a bad cell. Your battery terminals are clean, and the cables are clean and tight?
The pic of the choke linkage did not help me. Can you take a pic of the top of the carb with the air cleaner off, both before starting (cold) and (hot) and while the car is running (hot).
Also, 1,000 rpm high idle when cold is not too much.
Cal