Thank you both davep and geepherder for your help and advice. It is very much appreciated!!!!
My friend actually bought the car to fix and sell again. I am helping him with the electrical as he is a good mechanic but I said I would try and remove the remote start for him. I know nothing about electrical for a car but I am a residential electrician by trade. Although they are different I feel a bit more confident in working on the electrical of the car. Hopefully later today he will be ready to fire her up again and see what happens.
In the meantime I have looked at the wiring again since yesterday now that there is better day light. I think I have all the remote connections disconnected and any bare wires where he spliced into wrapped with electrical tape for now. Once I know the electrical is sound I will make more permanent connections.
How important is it that I use un-insulated connectors and solder them. I don't want to be putting money into things like a solder iron and connectors if I don't have to. Can I just be sure I twist the wires firmly if I have to reconnect any and then the ones that were tapped into I just cut the wire that ran to the remote system and tape that end not disturbing the splice he made with the soldering iron originally. I also use liquid electrical tape under the electrical tape as I repair the connections. We don't have to make it pretty just sound and then get rid of the car. No one is going to pull the steering column off and check how neat the connections are. I just want to be sure they are secure.
REF A - below picture. Davep, yep, I did not realize as you did from your experience but when I took another look, I saw it as you did in the picture, thanks. Ok,I see now that there was more daylight that the other end of this yellow wire (which I believe is the starter wire) is back down in the steering column and the guy had tapped into it with a purple wire. I just happened to see it when I was looking around down in there. He had wrapped it with electrical tape and I just saw a small portion of the yellow wire by chance. So I connected the purple wire to the green (temporarily) by twisting them and electrical tape.
REF C & D below - I realized that this yellow wire was cut in two completely and the other wires attached to them went to the remote start relay satellite. So I just connected them back together again temporarily. I guess that is the ignition switch or something.