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If you cleaned it by immersing it in the washing bowl and giving it a good scrub, Yes!
Apart from white the other colours available for ps3 are as follows: red and blue seems to be the only other two colours that are available at the moment.
no
everything except the motherboard. I hope that you are aware that you can fix ylod your self by taking ps3 apart since you want to sell it anyway. And once you get to mother board you just resolder the cpu created soldering bridge or bridges and make it work again.
buy a headset and turn it on
yes It's just that it works and looks better on an HDTV. Without the HDTV you will miss some of the benefits of the PS3. While the PS3 will still work without an online connection you will also miss out on the full PS3 experience if you don't have one.
You can trade in a Wii at Gamestop, but you can not get a PS3 for it without cash
yes
A PC is not involved in the use of the PS3. I don't even know how you would use the PC with a PS3. I have both and they are both connected to the internet. If you are asking how do you use a PS3 without internet and using the word PC for the internet it does not require the internet to use the PS3 it just gives the PS3 the ability to do more and to make sure the PS3 and the games have updates. Of course without the internet you can only play offline
Some downloaded games from the internet require internet be activated on a PS3 and will not work without it.
As of August 2014, a new PS3 with one controller is approximately $199.00 dollars. A used PS3 without a controller may sell for an estimated $100.00
You can't upgrade much apart form the system version and HDD however upgrading HDD will void your warranty... So you can't upgrade any hardware without voiding your warranty.