I couldn't find where to connect these. Any help is much appreciated.

Just realized the image is not clear enough... we are looking from a top view and that cable is located on the left side.

well green and black is 12v fused via F1, and brown is ground, so the 2 pin plug is a 12v power supply for something - maybe illumination for a gauge?
Dunno about the 3 pin connector - the wire colours aren't clear.

edit: item 66 on the OE wiring diagram shows a 2 pin connector for heated grips with those wire colours

edit2: if the other plug is grey with blue, brown, green with black, then it's shown in the OE wiring diagram as a connector for additional instruments.

chris846 wrote:well green and black is 12v fused via F1, and brown is ground, so the 2 pin plug is a 12v power supply for something - maybe illumination for a gauge?
Dunno about the 3 pin connector - the wire colours aren't clear.

edit: item 66 on the OE wiring diagram shows a 2 pin connector for heated grips with those wire colours

edit2: if the other plug is grey with blue, brown, green with black, then it's shown in the OE wiring diagram as a connector for additional instruments.

Chris,
So, at this point, my goal is just to turn the bike on.
I don't have heated grips.
and I don't need any additional instruments.
Im assuming I can leave then without any connection for now correct?

So long as it's not too cold, yes 

chris846 wrote:So long as it's not too cold, yes 

Chicago cold? Never...
I've got those heated gloves, vests and pants...even in Jan Im pretty toasty...love to see peoples faces at the traffic light.

3-pin connector is probably 4-way flasher switch.  This would be the case if the wire colours are Blue-White, Brown and Yellow-Violet.  Trace the wires and see if wires terminate on Flasher module connector.

2-pin connector is possibly heated grips connector  True if wires are Green-Black and Brown. See if power (green-black) terminates on Fuse 1.

Neither of these connectors will prevent the bike from starting.

I shall have to check but the three point connector could be for testing the ABS.  However I am unsure whether you have an ABS model.  

VIN number, year model, etc in your signature block make a huge difference when asking technical questions.  

According to his profile, the OP claims to own a 1985 k100rt so no abs.