Days Trips from Aix: Doable?

We will be Aix for 5-6 days. Considering we will not have a car, our plan is to do day trips as follows: 1st day: arrive Aix/explore Aix - cour mirabeau/walkabout 2nd day: Explore Aix / Half day visit to Lavender fields (Question: Are there any form of public transport to get to the fields? If no, we will go with the Aix tourism tour). Day 3: Take day tour "Provence in a Day and best villages of Luberon" with the tourism office. Day 4: Day tour to Avignon. Are there any trains or buses that go there? Day 5: Day trip to Casis or Marseille Day 6: Aix Is the itinerary doable?

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