Since your large image has a resolution of 1280 x 854, then all you need is a camera that can do 1280x854 => 1,093,120 pixels, or 1 megapixel (MP) or higher. You could probably even use a frame capture from 1080 HD video (1920x1080 pixels) or a smartphone camera.
In other words, any digital camera with a resolution of more than 1 megapixel is likely to be fine for the web delivery size you want, and a 12MP camera is more than capable of giving you what you need here, in terms of pixels.
However. Product photography and car photography are specific disciplines that may require more expertise and additional gear than a simple low-cost digital camera, particularly when it comes to lighting. So if you wanted images that looked exactly like the ones you're using to test the web code, the EasyShare may not be quite capable of producing them, since it lacks a flash hotshoe, which makes lighting more difficult, and M exposure mode, which makes controlling exposure settings more difficult.