Unfortunately, what you want to do will end up costing a lot of money to do it well. This is due to the laundry list of conditions that you need this camera to fill (lighting conditions, weather conditions, etc). Like BruceMol said, you'll need some lighting gear for your indoor shots such as a three point lighting kit. You don't want to be at the mercy of bad fluorescent lighting! Also, you'll want a couple of reflectors for outdoor shoots with reflector stands and holders which you can get from Photoflex.
As for a microphone, I would suggest using a wireless lavalier so that you have one less cable to worry about. The heartiest wireless lavalier that I know of is the Sennheiser G3 ($799): http://www.bhphotovideo.com/c/product/618735-REG/Sennheiser_EW_100_ENG_G3_A_Evolution_G3_100_Series.html. It's one of the most popular wireless lavalier systems out there for a reason!
Lastly, I think your camcorder options are completely open to you regardless of the weather. Like dellwovideo said, having an umbrella or rain gear for your camera is a much less expensive way to protect your camcorder than ordering one that's waterproof. With this in mind, you should be able to record with any camcorder you choose. I personally prefer shooting with DSLRs (for the shallow depth of field), but the camera you choose will depend on a lot more factors than that so unless you give us more details that is the best I can do!