Keep Losing Internet Connection

Over the past 2 weeks I lose internet connection almost daily--sometimes only for a short while but in most instances for several hours. I've tried unplugging and then plugging back in the modem and router, as well as shutting down my laptop and phone. I've also called support, and was told that 'my wifi is working but you don't have any devices connected'. Which doesn't seem to make sense to me, as my devices show as connected. Still, I followed the advice given and disconnected each of my devices from the wifi, then rejoined--in some cases I even selected "forget this network" and then rejoined by re-typing the password.  I have noticed that, usually, when I lose service the fourth light from top/third from bottom on the modem begins blinking non-stop, when normally it remains mostly on. Not sure if this is related but something I have noticed. I never had any issues with my connection until I upgraded to the new satellite--I understand and accept that my internet speeds may not be the best, but as someone who works from home to be suddenly and regularly losing wifi altogether is beyond frustrating. I'm wondering if there is an issue with my hardware, or if there is an issue with the new satellite, or something else...but at this point I am at something of a loss as to why I keep losing internet, and also why the diagnostics run by support show that I do in fact have a reliable connection.