Bloom Drop

Question

The plant has plenty of blooms. They dry up and fall off in a few days.

Answer 1

This is caused by a pollination issue. Mostly, tomatoes are wind pollinated, but in damp/rainy weather or very hot weather the pollen gets sticky and does not travel well. You may need to give it some help. These articles can help: https://www.gardeningknowhow.com/edible/vegetables/tomato/pollinate-tomatoes.htm
https://www.gardeningknowhow.com/garden-how-to/beneficial/creating-a-pollinator-garden.htm
https://www.gardeningknowhow.com/garden-how-to/beneficial/insect-pollination-process.htm

Answer 2

This article should help: https://www.gardeningknowhow.com/edible/vegetables/tomato/tomato-blossoms-no-tomatoes.htm