new hd tv and i need youre help

okay so i got this little 20 in lcd tv by westinghouse, it was free so no complaints, it can do 1080i 720p and 480p. so i am playing lego star wars complete saga on my 360 and every time the action seems fast, i get this line that rolls down the screen like its not in sync, and playing call of duty the image doesnt look as crisp so i figure its the refresh rate on 1080i, well i put it to 720 p and the left side of my xbox screen cuts off. i am using component cable and also hooked my pc to it with vga cable. i set desktop res to 1280x768 and 60hz refresh and its beautiful. anybody know why the xbox wouldnt work on 720p?

hope this link works, its a ltv-19w6 and its 19 inch not 20... i feel so betrayed by my stepdad lol.

http://www.westinghousedigital.com/details.aspx?itemnum=57

So the PC runs it fine, even PC games?

Did you try hooking up the 360 to another TV to see if something is wrong with it?

i am poor and this is only hd tv i got, yeah games run fine as long as i change reso for them to what they handle, but basic windows and firefox are great.