There are various settings in the BIOS concerning USB, and whether or not legacy devices are enabled. I can't tell you about your specific BIOS, however the majority certainly do have USB parametres that users can adjust.
If the answer does not lie in the BIOS revision you have then check if any updates exist, and also try to ensure you are loading the correct Logitech drivers before
plugging in these devices.
I always keep several wired mice and keyboards kicking around, in case my wireless ones decide to go south for any reason.