I think it will be tough. If you're in shape it will be do-able but hard. If you've only been riding on weekends you'll probably suffer. The first day will probably be glorious, but the second day will be difficult and the third might be an ordeal. At least, that's the way it is for me. Taking lots of stops helps you not suffer so much, although it certainly impedes your progress. During the first three days of a tour I stop a lot. Later on I don't stop much because I want to get to where I'm going - especially if I'm worried about a campground being full.
I've taken quite a few longer tours - two weeks or more - and I don't really get into the groove until about the 4th or 5th day. Before that I'm pretty wimpy. The weight will change things a lot, especially if you have to climb a lot of hills. If it was me I'd add a day or two and lessen my daily mileage for the first 2 or 3 days. I'd also keep a day in reserve in case I felt I needed a rest day. I'm not one who schedules a rest day at regular intervals (one every X days). However, when I find a nice spot and when I feel like I could use a day with no pedaling, just relaxing, I take one and love it!
As far as eating goes, my only advice is to count on eating way more than you do at home. I almost always eat two breakfasts - oatmeal or a bagel in camp and a stop at a restaurant for "2nd breakfast". I have several snacks during the day and a big lunch, and my dinner is usually as big as I can manage.
I met a guy in Glacier on his first big bike trip - from Buffalo, NY to Portland, OR. He remarked to me something like, "Do you find yourself eating all the time? It seems like I'm always hungry. I can't believe how much I've eaten on this trip!" I smiled and said, "Yup," as I spooned the first course of that night's dinner into my mouth.