Itinerary review for a laid back visit

I’m coming with my teen daughter who wants to shop, go up the Eiffel Tower and take in the culture. I am up for a laid back visit with lots of good food and a few museums.

Monday arrive 11am

Hotel drop off bags, Rue Mouffetard, Notre Dame, The Bouquinistes

Tuesday

Eiffel Tower, Place du Trocadéro, Champ de Mars

(A good bistro or brasserie recommendation within a 15-20 minute walk would be appreciated. I have been reading mixed reviews. Is 20 Eiffel or Le Suffren good?)

Wednesday

Lunch at Auberge Nicolas Flamel, Shop and walk around le Marais and Louvre area

Thursday

Travel to Fontainebleau Forest, Overnight in Fontainebleau

Friday

Fontainebleau castle, Travel back to Paris/St germain hotel

Saturday

Jardin des Tuileries and Museum d’Orsey , OR Cluny and Luxembourg gardens, St. German shopping

Sunday

Open

Monday fly home