With that option, will I be connecting through Wireguard with my home network as well or is it possible to set an additional connection bypassing Wireguard? Will I still be able to get the max speed?

Could you recommend any router that works with Wireguard?

I would appreciate if you could help me understand on how will I be able to connect to that router outside of my home? Do I still need to buy a portable router with installed Wireguard client?