I like your latest list of destinations. There's a variety of sites but all in the same basic area.
Personally, I look at arrival day as sort of a "Let's get to our first big destination and relax" kind of day, Assuming your trans-Atlantic flight arrives at de Gaulle Airport in the morning, I would not stay in Paris because you probably can't check into your hotel room until later in the day and I don't really enjoy sight-seeing on arrival day. So, pick a destination outside of Paris (Chartres, Rouen, etc.?) and figure out transportation. Trains, FLIX bus, etc., are all possibilities. My husband and I have driven multiple times from the airport but figuring out public transportation may be a better option. You will be tired and probably sleep-deprived after your flight so driving that first day is challenging if you're not familiar with the roads, the standard transmission car, road signs, etc. Spend 2 nights in that first destination and spend the second day sightseeing there.
The morning of the 3rd day drive onto Normandy. Bayeaux is a good destination for 3-4 nights because it is convenient to the D-Day beaches, cemeteries, etc. It's big enough to have a variety of restaurants and hotels, but small enough that driving in and out of the town is easy.
From there, move onto to Dinan. Stay 3-5 days, depending on how many day trips you want to make. I enjoyed St. Malo.
Next select one of the many towns in the Loire Valley and stay 3-5 days. It is tempting to visit many of the beautiful chateaux. I suggest finding a variety of destinations in the Loire Valley, such as the very old castle of Chinon, Fontevraud Abbaye, Chenonceau, etc. I suggest staying in one of the nearby towns.
Finally, get rid of the rental car and take the train into Paris. There is always lots of discussion on the forum about the "best" area of Paris. Most of the neighborhoods are safe and as long as you're near a metro stop, it's convenient to Paris tourist destinations. It's helpful to read about public transit in advance so you understand how to pay, etc.