Internet has recently started losing connectivity multiple times per day. Wireless and Wired

See under where it says "Downstream" in blue? Those are your downstream channel signal levels. What is of note is your upstream signal strength. It should be below 50 and it is 59 and only bonding on one channel. This makes me think the upstream has noise/ingress on it and is causing the gateway to reboot. That's why your second screenshot only showed the downstream since it was in the act of rebooting. Noise on the network can come from all kinds of things from a bad drop out on the pole, chewed wires somewhere on your street or even someone with a old TV or VCR hooked up in your neighborhood that is backfeeding electrical ingress into the system. I suggest sending a email to Cox and have them send a inhouse technician to scan your coaxial line for noise. Since you have a direct connection, there should be no charge but double check that with the technician when they are there. The charge is based on how the tech. resolves the work order.