Only you know what you want to do, but I know that tapping into multiple wires will end up shorting those wires together. Don't do it without expert advice or you could end up turning your turn signals into hazard flashers.
If you want to pulse the running lights, those are separate filaments/lamps from the turn signals, and their wiring doesn't come anywhere near the flasher module.
Also confusingly enough, the headlight power wiring doesn't go anywhere near the headlight switch as on most vehicles. All that's on the switch is a control signal to the BCM, which is ultimately in charge of turning on the relay that powers the headlights.
I'm going to move this to Audio & Electronics to get you some more expert advice for remote start issues.