Yes, but you need the Harley "rain download" first.
Nahhh dont get the rain download from HD, they have to keep that within Weather Channel standards and you will still run wet. Get the Rain Commander V works alot better and you can get maps for different types of rainstorms.
Absolutely not. It will rust, or worse. If you ride your bike on roads that were frozen and salted, it will rust, or worst. Harleys can only be ridden on sunny days when the temperature is between 60 and 85. Otherwise, they will rust or freeze up, or blow up, or worse.
Rainy days, cold days, hot days, overcast days etc are for polishing your bike and posting on HDF.