Hard start...

Look you are not following. You have two wires from the key switch. You NEED to get BACK TO the key and verify that the IGN1 terminal in "run" is live, and that the IGN2 in "start" is live. Then trace those wires from the key out through the bulkhead to the coil. You have the switch/ switch connector, the bulkhead terminals, and wherever the two wires go once in the engine bay.

You are making this hard. It is not.

It could be the actual ignition switch is bad/ internittent

It could be that the ign switch connector has bad terminals, or BECAUSE this is a rewire, that the wires are CROSSED UP

It could be the two wires have bad terminals in the bulkhead connector or that the bulkhead connector is mis wired.

Go to the switch. The connector can come down below the column, if you remove the short trim piece under the column. Easy. If the proper terminals on the bulkhead don't jibe and aren't workng, then pull the ignition harness/ engine bay side loose there at the bulkhead, and find where those two are.

THERE IS ONLY ONE switched wire coming into the engine bay, hot in run. It comes direct from the key, IGN1

There are TWO wires that come alive in start. One is the yellow "start" wire, the other is the brown bypass circuit. They both act the same but are separate switch contacts. OEM wire colors.