You've got it.
Could use this to mount the RJ45 socket http://www.jaycar.co.nz/Sight-%26-Sound---Home/Home-Theatre-Hardware/Other-Home-Theatre-Hardware/Keystone-Wall-Plate-Single-White/p/YN8050
And a punch down tool http://www.jaycar.co.nz/Tools-%26-Soldering/Hand-Tools/Crimpers/Cat-5-Punch-Down-Tool-Stripper---Low-Cost/p/TH1738
Looks like there are 6 cores in your cable. You only need four. Identify which ones are pairs (they will be twisted together in the cable). Red and white will be one pair. Punch one pair onto terminals 1&2 on the RJ45 socket and the other pair into terminals 3&6. Repeat at the other end. Done


