Please explain to me laptop internet connection (routers, wi-fi) completely lost?!?

[Ernie B]

so if i get suddenlink to put a router in for internet connection how is that actually done?

You call suddenlink, they come out and install the Wireless router. The Wireless part is important.
They setup you PC and Laptop.

how does wi fi work?

Works very similar to an FM radio, but with the capability to transmit and receive. The further away from or more obstructions between the signal source and the receiver the worse the connection gets.

how do you get internet connection everywhere?

You don't. Home wireless signal has a very limited range.

Good Luck