Philbo

Think of it this way.

For the left hand indicator:
Connect the resistor across the two wires from the bikes left indicator wiring loom, then terminate the wire from the new combo indicator unit to the positive wire from the bikes left indicator wiring loom.

i.e. the positive wire from the loom will be connected to two things, one side of the resistor, and the wire from the new combo indicator unit. The negative wire from the loom will only be connected to the other wire from the resistor.

For the right hand indicator:
Same as above, but obviously using the right indicator wring loom etc.

Glad you like my ace picture!

P.S.
I'm assuming the 3-wire connector you mention is for the rear/brake lights, and matches the connector on the bike for the old rear/brake light unit? If there's any doubt, plug this in and just check that those lights work OK. If so, then wire in the indicators as described.