That's a lot to unpack. Don't give up, though.
Like Mike said, don't rely on new parts to function as "new". They are often junk right out of the box. That goes for ignition parts, fuel pumps and carburetors. I've had two brand new fuel pumps fail on me, one wouldn't pump right out of the box. Both made in China.
I bought a new carburetor for my Mustang before I realized it was a Chinese-made piece of junk. I should have rebuilt the original. An NGK condenser failed after only 1500 miles.
Only check/test/change one thing at a time or you'll throw in too many variables to narrow down the problem.
Once you have all the basics Mike mentioned confirmed - not assumed - to be functioning perfectly, then we can better move forward with further tests.
