The best mode of transportation would be by car or renting a car as most of the locations are spread out. Average Uber fare for these five destinations would cost $50, which makes renting a car a more appealing choice.
If you have more time, you can add to your itinerary with options such as hiking the trails in the Azusa canyon or paragliding in the San Gabriel Mountains. If you have less time, you could cut out either the shooting range or golfing and see more of the city on foot or bike.
The nearest airport is the LA/Ontario International Airport (ONT), which is about 20 miles from Azusa. Other options include the Burbank Bob Hope Airport (BUR), which is about 30 miles from Azusa or the Los Angeles International Airport(LAX), which is about 45 miles from Azusa.