To get around Calabasas, renting a car is ideal for transportation. Uber/Lyft is a viable option, but be aware of pricing surges during peak times. Public transportation is present but not recommended. You can rent a car for approximately $35 per day. With a rental car, all of the points in the itinerary are within a 10-mile radius.
If you have more time, try exploring the various beaches along Pacific Coast Highway. Pepperdine University and Serra Retreat are the nearby attractions you can add to the itinerary. Additionally, if you have a bigger budget, try visiting the Getty Villa.
The nearest airport to Calabasas is Hollywood Burbank Airport (BUR) which is around 30 miles away. Another close option to consider is Los Angeles International Airport (LAX).