Is my Mobile LC1 box hooked up right?

[Julex]

I just want to make sure this is all good for my Wideband multicar box and HPT Pro. I haven't had time to actually go in and start tuning to see if it works, but this is just to make sure all my data is accurate. Thanks

LC1
Red - Cig lighter power
Blue - Cig Ground
White - Cig Ground
Yellow - Capped
Brown - HPT Pro A/D input 1
Green - Cig Ground
Black - Switch/LED/ then to Cig Ground

HPT Pro Device
A/D Input 1 - Wideband Brown Wire
A/D Input 2 - Empty
A/D Input 3 - Empty
A/D Input 4 - Empty
Ground - Cig Ground
Ground 2 - Cig Ground
Device Out 1 - Empty
Device Out 2 - Empty

This should all work right? The only thing is it's not hooked up to the same ground the PCM is since I'm using a Cigarette Lighter as my mobile power source. Even though they are probably grounded to the same place on the chassis since they are both runing through the fuse box. Atleast that's how I picture it all.

If this is wrong please correct me. Thank you!

Also this is for soundengineer or whoever knows. He uses Neutrik Speak-On NL4 as quick disconnects. I'm still learning electrical wiring, but I was wondering how these work. Obviously it's a male end + female end, but reading about this plug it says 4 post, does this mean it's a 4 wire plug? I need better connectors since I'm using those dumb little push in ones you buy at pep boys, where the wire pulls out before the connectors come apart.