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I would wait until you see if any of the fruit develop and then thin the fruit. Not all of the blossoms will take and you may only end up with one fruit regardless.

Likely, the tree is still too young to produce fruit. The requirements for lemons are very similar to that of limes. If you have not read it yet, this article may also be helpful: https://www.gardeningknowhow.com/edible/fruits/lime/reasons-and-fixes-for-lime-tree-not-producing-blossoms-or-fruit.htm

Have you fertilized? Nitrogen encourages leaves to grow, but not fruit. Too much can actually keep a plant from producing fruit. This article has information on how to fertilize your trees: https://www.gardeningknowhow.com/edible/fruits/citrus/fertilizing-citrus-trees-best-practices-for-citrus-fertilizing.htm --I would also try giving it some phosphorus rich fertilizer like bone meal. If it is lacking phosphorus, it will not be able to produce healthy blossoms (which means no fruit.)

The rule of thumb is 2" of water per week. Since you are on a drip system, I would recommend taking one of the lines out of the ground and measuring how long it takes to fill a small cup to 2". That will determine how long to run the drip system for proper watering. Since you live in a much warmer climate, I would water two times a week for at least 15-20 minutes (longer if it has been very hot and dry) so that at least 2-3" of water go in the soil every time you water. This will encourage deep root growth, which will help it survive in the higher temperatures.

Here is more information:
https://www.gardeningknowhow.com/edible/fruits/citrus/tip-on-water-requirements-for-citrus-trees.htm

How old is the tree? If it is a young tree, it is probably purging the buds because it is still too small to support the fruit the buds would produce. This is normal. In fact, I would recommend that until the tree is 2 years old, you remove any blossoms it produces so that it can focus on becoming well established rather than on growing fruit. It will be better for the long term health of the tree.

If you have an older tree, the following article should be of some help to you as lemons and limes are similar in their growing conditions: https://www.gardeningknowhow.com/edible/fruits/lime/is-lime-fruit-and-lime-blossoms-falling-off-tree-normal.htm

They are a tropical plant and cannot tolerate temps below 25 F. However, in your area, you can grow these trees in containers. They can spend summers outdoors but you will need to bring them in once cooler temps return in fall. Here is more information: https://www.gardeningknowhow.com/edible/fruits/lemons/growing-lemon-trees-containers.htm

Fluctuations in the weather, temperature and watering cause fruit split in citrus fruits, like lemons. A period of high humidity followed by a dry period can trigger the splitting effect. Usually only a few fruit on any given tree are affected. Keep the soil evenly and consistently moist, not soggy, to alleviate the problem as much as possible. This article will help: https://www.gardeningknowhow.com/edible/fruits/citrus/tip-on-water-requirements-for-citrus-trees.htm