Cable modems require a higher quality signal than cable boxes do. It is possible that your switch splits enough to bring the line noise high enough on the modem to cause periodic disruptions. There are a few common solutions to this.

First, a split at the line in made by the cable company using a high grade splitter and then a home run line out to each device. This requires a reconfiguration usually, so it may not be possible.

A simple alternative is to use a powered signal amplifier as the splitter. The cable company you have should either offer or recommend them if they are needed.

Of course, the first thing you should do is have the signal measured. Most cable modems actively monitor their signal and if you can find out what the IP address is of the modem, you can read it.

Other potential problems are the modem requiring a clearing, or the service requiring a refresh. The techs at your cable company can send a refresh signal and you should try the clearing.

To clear a cable modem, unplug all of its plugs and just leave it be for about 5 minutes. Plug it back in and see how it goes.

It used to be 192.168.100.1, but I have a newer modem and that isn't it.

Do you have "line insurance". If you do, then just have them come out and measure.

If you don't, then I would ask them if you can buy a powered amplifying splitter.

The numbers look healthy to me. I will say that I realize one major thing though. You have a DOCSIS 2.0 modem. You can request a 3.0 modem as a free update (if they have it in your area). It will provide a higher potential speed for you. That might be your best option since it will clue you into the modem being the problem or not and you'll have a faster device. If it still has trouble, you know it is the line.