You will be challenged getting your camera to take a short enough exposure of a 1/2 - full moom using ISO1600 without the shots burning out. You will also notice that it is very grainy. I would suggest no faster than ISO400 for the moon, preferably a finer grain film like ISO100 and use longer exposures. Do you have a cable release for your camera? If not try using the timer to prevent any camer/mount shake.
Doing DSO with the 1600 colour negative film will be ok but you will have to deal with the grain. Kodak EKtachrome ISO 100 and 200
slide film are reported to be very good for DSO imaging. Also consider Fuji Provia ISO400 (?) slide film. Which ever way you choose to go you will have to expose for a considerable time to get a nice bright image.
If you can spare the biccies I'd suggest looking at getting Michael Covingtons book "Astrophotography for the Amateur
". While it can be applied to digital photography it is based on film photography and contains all the information about film, exposure, equipment and techniques you will need.