Help setting up network w/ GS605

I am not sure how to set up my network and need help.  I had a new home built with three lines running to different rooms and all leading to a cabinet/box in the laundry room where cable etc are housed.  I am trying to get all three lines to have internet connections on the other end.  Here is how I have it setup right now.

Cox cable modem to Netgear 5 port gigabit switch GS605 then all three lines are plugged into the swich.

One line goes to a wireless router Asus AC3100 - this connection works fine and provides both wired and wireless connection to it.

The problem is that only one line will get internet access while the other two can connect but say "Local Only" "No internet connection".  I have tried to connect a laptop hardwired directly to the switch while having the one that is working still connected and I still get the above problem.

I am not literate when it comes to acronyms and terms used for networking so if someone can provide a (simple) plain english answere I would appreciate it.