If indeed this was weather and its associated deicing (which has to be applied in a limited time frame prior to departure) and if the new rules are interpreted in even roughly the same way as EC 261/2004, there will be no compensation.

As to luggage, one always makes the claim to the final delivering carrier and it is that carrier's responsibility to reconnect you with it. Thus, if AF is the last carrier, it becomes an AF responsibility. "Fault" is not an issue. To the extent that you had interim expenses due to the luggage delay, e.g. purchase of a few necessities, AF will reimburse those and may require receipts.

Unlikely that either AC will reimburse the taxi, but it does not hurt to make the request. It might generate some form of customer service gesture.