Definitely ambitious, if not impossible.
To answer just a few questions:
- Any chance of making this? If you check your bag in Paris, I don't think so. Claiming your bags and dropping them off again will almost certainly be impossible.
-Customs: No. You can't. Customs are done at the arrival airport. Immigration is done, when you leave/enter Schengen. In your case, you wouldn't be subjected to customs or immigration as you arrive in Paris on a domestic flight.
In any case, you need to pass immigration in Paris as you leave.