I was referring to this photo from Tycarver. There should be no splice to the Red/light green wire from the clock spring it goes directly to the PCM pin C32.
There is a second wire attached to the Brown/yellow wire that is Black/red If that wire goes to the plug show in the second photo and that is the battery sensor that one is OK. The battery sensor does splice into the Brown/yellow wire.
View attachment 253789
I assume this is a battery sensor plug. I hope you still have the factory wiring inact on the original battery sensor because the Pink/yellow wire goes to pin A4 on plug C2 of the PCM , There is no change required for that wire. The Brown/yellow wire from the original battery temp sensor needs to be connected to the Brown/yellow wire from the clock spring plug. I assume the Black/red wire from the first picture is the same Black/red in this picture if so it just needed to be spliced into the Brown/yellow wire on the battery temp sensor that should still be under the battery. Refer to the schematic after this picture.
View attachment 253791
Tycarver you already have a battery sensor and plug so ignore the one that came with the parts you bought, it is just a spare. make the connection from the clock spring to the battery temp sensor the Brown/yellow wire to the Brown/yellow wire. Connect the Red/light green wire from the clock spring to the C32 pin on the C1 plug of the PCM.
View attachment 253792