I will second the case against running POTS and TCP/IP on the same cable. Even though it can be done (if you rig it) it is a potential source of problems.
While only 2 pairs are used for TCP/IP, they are very sensitive to the fat voltage impedance from a ringing phone, which as most of us know, will make you jump if you are holding them leads and the phone rings
But you will not improve the speed of TCP/IP to my knowledge by connecting the unused pairs, although some may consider it good practice to do, in the event of future spec changes, or to use pair one (4-5) if they decide to change the cable to POTS. But hooking up 7-8 is almost always just extra work.