Hi there,
several things I'd mention:
First, judging by the looks of the stars, the focus is a bit off - but that's easily correctable. Take several shots before and after the infinity mark on your lens and pick the best one. Do keep in mind that variations in temperature will shift the focus, so if you have long sessions you'll need to check it quite frequently. The other thing, your stars are not dots, but rather ellongated. Two things can contribute to this - either a tracking error (missaligned mount) or lens distorsion known as coma. I notice that the stars in the lower left of the image appear more circular than those on the upper right, so i assume this is a crop of the upper right corner, given the difference in the shape of the stars.
Second, you have a lot of noise. This you can correct by lowering the temperature of your camera (difficult), by incerasing the ISO and thus decreasing the exposure time (but higher ISO also means noise) or by stacking hundreds and hundreds in order to increase the signal to noise ratio.
Colours are present, but you have a blueish/green dominant tint. The blue comes from the stars not in focus, the green seems to be noise. Some software (like IRIS) needs to have the green channel adjusted, as there are twice as many green piyels as there are red & blue. Again, easy to correct. the easiest is to find a refernce image on the internet of the particular field you're photographing and then twitch the colours to match that.
Speaking of colours, on a 350D I suggest you don't go over ISO 200 if you're looking to achieve aestheticallly pleasing photographs. Noise and above all a very narrow dynamic range will give you very little to work with: hard to get differences in colour, burnt highlights and black shadows. If you're interested in identifying objects rather than make nice pictures, push it to 1600 - up to you to decide which you need.
I've used and abused the 350D for years, it's an indestructible beast.
Enjoy 