Starts in gear

Straight, so connection the brown wire should cure this problem ?

Sorry as stated, yes it is a Brown/yellow wire. It comes from the center terminal on the NSS to that circled terminal. There should be nothing else spliced into the wire. To and From only.

There is a NSS kit available for your shifter from the manufacturer. It bolts to the shifter itself. Maybe came in the kit. You will need to route the NSS wire to the shifter, then to the starter relay. Should be directions on their website.

This is also true. You can use the switch that came with the shifter, but since you need the other 2 wires from the NSS on the trans for the back up lights I would just use that. I installed one of them that came with the shifter and it seemed to always move and I would have to pull the cover and readjust the micro switch. Your choice which to use. Either will work.

BTW, the factory schematic indicates that this wire is brown-yellow. There are also 2 black wires from the NSS but those are for the back-up lights.

If you have an ohmeter, you can check the NSS for proper operation. Check resistance with one ohmeter lead to the brown-yellow wire at the upper end (in the engine compartment) and the other to chassis ground/battery -. It should be near to 0 ohms with the trannie in park or neutral, and very, very high resistance (essentially infinite, or an open circuit) when in any gear.

It sounds like the G terminal indicated on the starter relay has been grounded; otherwise, it would never start. You need to remove any such ground when you hook up the brown-yellow wire from the NSS.

Good info here as well. That terminal is being grounded somewhere somehow.. You have to find out what and where and fix that.