Still issues with the car not starting!

Could be the ignition switch, the starter relay, the neutral safety switch (if it's an automatic), the adjustment of the gear shift linkage (if it's an automatic), any of numerous wires and connections. Could be the "remanufactured" starter (generally they're junk). Systematic diagnosis is called for.

First, try starting the car in Neutral rather than Park (or racking the shift lever through its full range of travel while holding the key in the "Start" position). If you get noise out of the starter, the fault is with your neutral safety switch. If not, the fault might still be with your neutral safety switch. Get out your test light, remove the two small push-on wires from the starter relay, and check for battery voltage across the two wires (or across the one wire and ground) when the key is held in the "Start" position. If voltage is there, replace the starter relay. If no voltage there, check for voltage across the the + small relay wire and battery negative. If voltage there, the neutral safety switch is faulty or out of adjustment. If no voltage there, the ignition keyswitch or its wiring are suspect -- time to trace backward until you find where the voltage-with-key-in-"start"-position stops.

The Neutral Safety Switch is screwed into the driver's side of the transmission. It does only that function on '68 and earlier cars, so has a single wire going to it. If it's a '69 or later, then it is a combination neutral safety switch + reverse light switch with a 3-wire rubber-booted plug going to it; middle wire is for neutral safety.