1998 sebring pheonix digital pd 175

hello I am looking for help with my connections on my remote start and alarm.  I have read through a previous thread that was locked, but if not I would have just posted in that one, found here:  https://www.the12volt.com/installbay/forum_posts.asp?tid=74152&KW=phoenix+digital+pd%2D175

there is a picture of part of the install diagram in that post.

My first and main question is that I am unsure of how to connect the remote start and starter kill relay.  The way I have it now is this:

7p white wire, black wire and green wire from starter kill relay, along with a brown wire from the remote start module, all of these connected to the ignition #1 wire from my key cylinder.

starter wire from key cylinder cut, and the other green wire from the starter kill relay, along with the yellow wire from the remote start module, both connected to the starter wire going to the starter, and nothing connected to the starter wire into the key cylinder.

I am not sure this is right and seems wrong, but this is what makes sense according to the install diagram from the alarm.  Please let me know if I should fix it and wire something back into the starter wire of the key cylinder?

thanks for any help.

here is a copy of the picture of part of the diagram: