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This can happen for a few reasons. The most common is too little water. Another reason could be poor pollination and then poor fertilization of the soil could also cause problems with the flowers.

A pomegranate would work well in your location. They can take a pretty diverse set of conditions and as long as you can keep it watered, it will do well there.

This can happen for a few reasons. The most common is too little water. Another reason could be poor pollination and then poor fertilization of the soil could also cause problems with the flowers.

This can usually be attributed to poor pollination. Both flowers and fruiting will not take place. Not all blossoms will produce fruit, but you can help encourage fruit production. Take a soft small paintbrush and brush the stamens of open blossoms from bloom to bloom.

They need regular weekly watering, saturating thoroughly (make sure there is good drainage). If temps climb above 80, you'll need to water every day.

Here is an article or two that you may find helpful: https://www.gardeningknowhow.com/special/organic/compost-for-organic-gardens.htm
https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/how-to-improve-clay-soil.htm

The best thing you can do for it is to just give it good care. Make sure that it is getting the water it needs and give it some balanced fertilizer.

It can stay outside where you are, but I would set it in a sheltered location, such as near a wall. This will give it a little extra protection for any unexpected cold. Bring it indoors may actually do more harm than good as the plant will have trouble getting enough light indoors, which will stress it further.