As for your frequent disconnections, is your router a cable modem/router combo? Make sure its compliant with their system.
What I've found by searching:
Here Are Best three Routers for Cox Cable Internet in 2020:
1. NETGEAR Nighthawk Smart WiFi Router (R7000) – Best Overall
2. Nighthawk C7000 4X8 Cable Modem/Router – Best Combo
3. TP-Link AC1900 Smart Archer A9 – Budget Pick
Source: [link to pickmycablemodem.com (secure)
The cable modem is critical for the connection to the cable system. A router is more of an accessory for the customer and isn't nearly as important. If the cable modem is separate from the router, here's a list of "Cox Certified Cable Modems":
[link to www.cox.com (secure)
As for your internet speed, it will be very slow even with the right hardware, until Cox has the MAC address of your cable modem in their system. I had to read mine to customer support over the phone. After that, my speed was blazing fast. The tech guy they sent out to you probably took care of getting your MAC address into their system.