10 year old ignition black box, 10 year old fuel ???
You have made quite a few updates / repairs.
dadsbee and torred make good suggestions, tie that choke open, just don't dump more fuel in, pump out all the old fuel you can and get some new in it.
I would put a new ignition box on if it's a chrysler system you should be able to grab one at the parts store. While your there grab a new coil also , they do funny stuff when they are going bad.
You mentioned a problem with the plug wire swap.
Let's roll it up on TDC and make sure the rotor is pointed at #1 then once again go over your firing order.