You may have a decimal point off on the length (?) on the size of your lake. I calculate 633 acres to a sq. mile and if the length were 7 miles, the width 4, that would be 19,000 acres. Kerr Lake is the dammed up Roanoke River and has a lot of branches and coves so it extends all over the place. Jordan Lake near Raleigh is 14,000 acres and a good lake for the Hobie.
At 120 lbs, I don't know if you want to singlehand a Hobie 16. Someone else will have to comment on that. I am about 185 and solo it all the time. It takes about 210 lbs to right it if you go over. I would think you would have more of problem going over than burying a bow and would have to luff the main to prevent it.
Howard