Questions before puchase as a UK buyer

I'm interested in getting a pair of goCoax adapters for my home. A few questions.

I'm from the UK, so I would need to get myself a couple of UK PSU bricks separately. What are the voltage requirements, and the size of the DC barrel connector (standard 5.5mm x 2.1mm or other size)?

I have a spare unsed run of TV coax cable already installed from my living room to my bedroom, both ends are currently unconnected. The plan is to use this run to connect from my router downstairs to my bedroom. My question is, do I just crimp an F type connector to the ends of the coax, and just connect them directly between 2 goCoax adapters? Or do the US use a different type of connecter?

Thanks.