I have been on 15 tours including Best of Paris tour twice along with other week long tours of cities. As you can see when your read the itinerary, half the meals are included, so people are getting together for dinner. If you are thinking about on the days there are no group meals, then the answer is yes, people do get together and go to a resturant to have dinner or lunch together. If you are traveling solo, ( like I have done on most of the tours), then you can ask others if you could join them in having dinner or lunch together.
I loved Versailles and they take you there, you take a group tour of the palace and then you have the rest of the day to either continue visiting the grounds which are beautiful and extensive or go back to Paris. It is easy to take the RER to get back to Paris on your own.
As for special activities, it may be best to call the RS office to ask that question, but what itinerary does really give you a good overview of what you will be doing as a group.
If you have any questions regarding your free time and what to see and do in Paris you can PM. Paris is a beautiful city.
As for the weather, I never went in November, but a warm coat and layers would be advised.
Have a great time.