I just bought a house, its wiring for cable/internet in each bedroom.
However, in the basement, there is a large trunk of un-terminated
wires, so its not 100% ready.

I need to know exactly how to finish this wiring please!

2nd floor - Office. This room has a female CAT 5 jack built in the
wall. The cord in the basement has no end on it. I've already toned
which wire it is. The cable internet also was hooked to this room (by
isp). So this room has 2 PCs, Router, Cable Modem, and the un-used
cat5 port in the wall. Both PCs are online already.

1st floor - Living Room - Also an unused CAT5 jack built in the wall.
I've toned the cord to the basement, it also has a clean cut end.

Basement - The trunk of cords comes down here.

I have a really old Lynsys "hub" its an old loooking device, has
Collision lights on it .. I doubt its a router or a switch.

Here is what I was guessing:

Male-to-Male plug from router to 2nd floor wall jack. Terminate both
basement cords with female ends (not sure what config to use "A" or
"B").. Take those new female ends, and male-to-male from them to this
hub I have. Then male-to-male from my xbox to the 1st floor wall
jack..

Is that right? What config to I use on the basement females? Is there
any way to just slam these two basement cords together? Any help,
thanks!