I am sure there will be a lot of suggestions regarding your time in Paris. Here are some of my suggestions:
Read the Paris guide book to see what interests you. Look at the Paris Walks website and see what walks you can take with them. They have many walks ( not sure if they may do private walks so check to see if they do) and you just show up and pay your fee to the guide and will be in a group going around with the guide on the walk. I love them and have taken two in Paris and several in London ( London Walks). When I go back to Paris I plan to take more of their walks.
Go on this website and look at the Paris and Best of Europe scrapbooks if you have not done so already. They are a wealth of information about the tours and what other past tour members saw, did, ate, hotels etc.
Go to YouTube and look at the free videos on Paris including RS free videos. Again lots to see and learn from.
Not sure if your interested but my favorite museums are in Paris and there are several to go to. I can see that your interesed in seeing the city but just in case it rains, it would be good to know what museums you may want to visit. Plus you may want to see a museum and then walk around the city.
As for organizing your time, do look at other posts on this forum as people have asked the same questions and you may find it helpful to read other people's posts on Paris.
I would also recommend making a list of things and places and musuems you want to visit in your free time in both Paris and on the rest of the 14 day Europe tour. I have been on this tour and I made sure I knew where I wanted to go in my free time in each city we visited. It really helped me in knowing where I was going when the group broke up for free time and I did not have to waste time reading the guide book or asking the guide where to go. I went solo, had been to most of the places the tour took us to and so I went to places I had not been to when I had been to Rome, Venice, Florence, Munich and still I have not seen everything I wanted to see.
I loved this tour ( I have now been on 17 tours and took this tour about 4 years ago). It is wonderful and I found it to be an advenuture but the key to sucess on this tour is being prepared about what you want to see and do. And if you know where you think you might want to eat that will help too.
Read the guide book and make a plan.
Have a great time! If you have more questions, pm me.