Can you post some pictures of the battery terminals and the location of the jumper to the purple wire.
Or if posting a pic is difficult, email or message the pic to me,
jim@gizmosart.com, 443-244-1347
I suspect that you have a bad battery cable connection or a damaged battery cable and that you are powering the car's electronics through the jumper to the purple wire.
With the ignition key ON, does the Instrument cluster light up? Do you see the indicators on the Driver Information Console above the AC controls?
You may also have an electrical ground problem. You may be powering parts of the car through the wiring under the dash. This can cause melted wires and costly repairs. I saw it happen on a ZR-1 here in Maryland.
Yes, you need to buy Volume 2 of the FSM to get the troubleshooting portions and the wiring diagrams.
I recommend NOT trying to start the car if the electrical system is not working properly. You have proven that the engine can crank and fire so you know that you have fuel and spark. You don't need to run the engine until you get the electrical system working correctly.
Jim