Replaced frayed wire - now no start

[tucsonjwt]

I replaced a frayed wire I found going to the remote solenoid on my 83 C20 and now the truck won't start. The wire I replaced was light green and all of the insulation had worn off, exposing bare wire. The green wire was inside a wire loom with the other wires so I did not notice it before I saw that the end of the wire was frayed where it attached to the solenoid. I don't know what it is for. After that, the truck won't start.

The first pic shows the bare wire and the second pic shows the larger black wire i replaced it with. It just attached to a butt splice connector, so i just replaced the connector and used 12 gage wire (the existing green wire looked like maybe 18 gauge wire.)

I am suspicious of the white round barrel looking thing in an adjacent wire. I have never seen a connector like this, but it had bare wires on both ends. It has two wires in and one wire out. Does anyone know what this is, and would it cause the truck not to start? The wires appear to be molded into the white device, not crimped. I suspect that the bare wires on either end indicate that the wires have been stressed and pulled out of the device.

The pink wire is on the S terminal of the solenoid.

Thanks.