Assuming you have the COX modem locked down Access port VLAN, then connecting to a firewall or MX Appliance. We see lots of IP / broadcast ARP entries from some of the broadband modems as they can be a shared ethernet segment. Is the COX modem set for a static IP or DHCP?
As a rule make sure the VLAN's are unique and set for Access ports, only the MX's Public WAN and COX LAN (yellow port) plugged in. We have see some devices have issues with POE negotiations also, so I'd say turn off POE also and see if that makes a difference.