After watching the videos,
I'd say you need to lower your idle set screw a bit. It's located at the rear of the carb. Normal idle is 650 rpms. Sounds like your around 1000 rpms. Or were you intentionally pulling out the choke a bit?
I didn't hear any pinging. I did hear more valves noise at the higher rpms on the road test. this maybe normal or you may want to adjust the valves...either way you can probably drive home on that if that were all it was. Valve noise is like a sewing machine type noise. Valves reside inside the cylinder head on top of the motor and let air and exhaust in and out and need to be timed right.
I thought I heard a lower noise at idle in the second to last video. Like a thud that keeps with the rpms. Might be the smog pump.
Also you can run the engine cold w/out the smog pump/fan belt for a few minutes (just don't let the engine get warm) just to see if the noise goes away...process of elimination, While the belt is off turn the pulley by hand to see if you can hear anything clunking around in there or feel any thing cruddy.
it's common for a smog pump to make noise if a vane inside is broken and something you would want to correct before it seizes.
The rich carb issue isn't something your going to figure out just by looking or listening. You may have to pull the carb apart and clean it
When I spoke with you over the phone you said the 4th cylinder was 175psi compression. You may want to get some input from the forum about this. Hopefully it was a bad reading but normal psi for this engine is 149 and lower limit is 114 psi with 14 psi difference between cylinders acceptable. Maybe get the mechanic to check this again.
I wouldn't get back on the road until you get a working temp gauge and oil pressure gauge. the green wire that goes to the temp sender is just forward of the red heater hose that runs behind your air cleaner. Follow the red hose to where it is band clamped to a vertical pipe and about an inch in front of that is the temp sender ...looks like a round plug on a hexagonal bolt head . The green wire has a spade terminal that shove onto it. Just make sure you have a good connection here. It is the most likely reason your gauge is out.