Two questions about disassembly

[Longbow62]

These maybe dumb questions, but I only have the very basic mechanical knowledge.
1. The throttle cable that is wrapped around the pulley on the oil pump. I can't figure out how to remove it. There appears to be a tiny pin that keeps the cable from coming completely off the pulley. Like you would have to remove the pulley to get the pin out. Am I missing something?

2. The left hand carb with the choke. The slide/throttle valve is stuck in like a bottomed out position. The choke lever was also stuck, but I unscrewed it and removed it from the carb. Is something physically holding the slide down? I thought it might be just gummed up bad, but I can't get it to budge after spraying with WD-40 and gently trying to lift it out. Who knows whats going on?

[1976RD400C]

The pin in the way of the oil cable is the end of the spring and needs to be pulled back a little out of the way to get the cable out. Maybe try heating the carb with a hair dryer and taking a piece of wood or plastic and pry the slide up and out.