I don't thing your computer is the culprit for your mouse movement problems.
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- Go to \Users\[Username]\My Documents\My Games\Skyrim
- Open the SkyrimPrefs.ini file with notepad
- Find the line bMouseAcceleration=1 (located under [Controls]) (If there is no line, add it)
- Replace the 1 with a 0
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Turn of AA and AF
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- Go in start menu.
- Type in Run.
- When it will popup type in Msconfig.
- Then in the Msconfig go in Services.
- And the find Windows Event Log.
- And uncheck Windows Event Log.
- Restart your Computer and your Done.
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Go into your Nvidia Control Panel - 3d Settings, and make a change to Maximum pre-rendered frames to 1 (0 is too little, it affects FPS, 2 and 3 seem to make the mouse much more sluggish, 3 is default).
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Disable any background utilities even your Antivirus. Play offline mode...
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As for you PC, well...Your processor is not bad, but quite week for skyrim (if you want to play Ultra settings + high end mods). Your GPU is good, but i don't thing it can handle well texture mods at ultra settings also.
What you can do. If you don't have much money you could change your GPU with a better one, plus a better PSU. (if you have an old PSU). However your CPU will bottleneck you system a bit. So that's not the finest solution.
I would go for a complete PC overhaul here. Your Mobo is not bad either, but with today standards, a 775 socket is obsolete now - for the reason, it's not upgradeable any more in a matter of performance boost.