Hi Cindytortoise,
The current router you have had for a couple of years, and the white BT router is the old fibre link that BT used to install.
I want to get this replaced, so a more up to date router is on the way that will replace both of these devices.
With the new router, you only need to have this plugged in and connected to your phone socket.
This should help with most of the issues, and certainly help to simplify troubleshooting.
Thanks
Karl.