I have edited my original post with the correct connections. I've ordered the external(backup) battery and some extra sensors, but couldn't wait for them to arrive so I connected the alarm and remote start. For the remote start it seemed like it came from the factory programmed for Manual Transmission so I had to reprogrammed it for A/T other than that everything was smooth
Thank you guys for all of your help.
Oh and one more thing (hint) I found it really difficult to tap into the Door Lock/Unlock wires (due to their location and they're really short), so I went to the junk yard and got me a yellow three pin (three cables ) female harness(assuming the gray harness with the blue tape is male) used I believe for the SRS, when you take out the plastic knee protector cover and the black metal cover it's gonna be right behind it on the left side of the steering column next to a wide brown harness can't miss it. I tapped the alarm wires to those two out of three cables so it corresponds to the orange and black/white wires on the grey harness and plugged in, worked like a charm.