The TV ONLY has a coax input.
Rule of thumb: the more signals that get carried on a wire, the more interference (read: "fuzziness") you get.
On VGA/RGB you get 8 wires: Red, Green, Blue, R-Ground, G-Ground, B-Ground, Horizontal Sync, Vertial Sync. 1 signal per wire for the best "sharpness".
Go down the list and you get Component (Y+Sync, Pr, Pb), then S-Video (Chroma/Luma) then comopsite (everything in 1 cable). Last on the list is coax. All video and all audio on one cable. The absolute worst image quality you can ever get.
If you want a better picture, you have no choice other than to get a new television/monitor. There is just nothing you can do in your current situation to get a better picture. Sorry.