Apologies. I would be travelling by Metro throughout the whole trip. So, which is best recommended since I arrive on thursday and depart the following thurs. And the tourist pass or Carnet de 10 seems unlikely not a better choice. I was thinking of Mobilis for Thurs to Sun and Mon to Thurs as Navigo weekly pass.
How about Navigo Day pass? Is 17.80€ applies for per day or am I able to reloaded it when it runs out?
If you arrive on Thursday and need public transport through Sunday, you're still best off by buying the Navigo Week Pass for Thursday - Sunday, which is 4 days of transportation coverage for 22.80€ + 5€ card fee (27.80€), which includes the cost of CDG airport to central Paris by train (RER B) since Navigo Week Pass is by default 1-5 zones.
Buying 4 days of Navigo day pass costs 7.5€ x 4 = 30€ + 5€ card fee (35€) and this does not cover you for CDG Airport to Paris on the first day, a single ticket cost of 10.30€ on top of that, so 40.30€ in total. Same with Mobilis Day Ticket which is the same price.
Overall you need 8 days of transportation coverage: Thur, Fri, Sat, Sunday. Four days.
Then Monday, Tue, Wed, Thur. Another 4 days.
Buy two back to back Navigo Week passes, which will be the least hassle, lowest cost and best coverage, including CDG Airport and Orly Airport if needed.