The LAN cord is the same one which I unplugged from the ATA (I removed the ATA when I canceled HughesNet Voice) and is going to the router's WAN port. My DirecTV receiver, which is connected to the router's 2.4ghz 802.11n band of my router (my computer is 5ghz 802.11ac) also has disconnection issues, so it's not my computer. I have switched to a new LAN cable, and cleared my state code monitor, and will see if that solves the 13.1.1 issue. The latency issue is still present, pings average around 1900ms vs 700ms before I canceled HughesNet Voice.
Pinging 8.8.8.8 (with 32 bytes of data):
Reply from 8.8.8.8: bytes=32 time=943ms TTL=53
Reply from 8.8.8.8: bytes=32 time=1299ms TTL=53
Reply from 8.8.8.8: bytes=32 time=1037ms TTL=53
Reply from 8.8.8.8: bytes=32 time=784ms TTL=53
Reply from 8.8.8.8: bytes=32 time=1084ms TTL=53
Reply from 8.8.8.8: bytes=32 time=1594ms TTL=53
Reply from 8.8.8.8: bytes=32 time=617ms TTL=53
Reply from 8.8.8.8: bytes=32 time=580ms TTL=53
Reply from 8.8.8.8: bytes=32 time=577ms TTL=53
Reply from 8.8.8.8: bytes=32 time=589ms TTL=53
Ping statistics for 8.8.8.8:
Packets: Sent = 10, Received = 10, Lost = 0 (0% loss),
Approximate round trip times in milli-seconds:
Minimum = 577ms, Maximum = 1594ms, Average = 910ms