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Generally, any tree or plant will be watered when the top two inches of soil are completely dry. There is no set timeframe, as this can be different depending on conditions around the tree. So the best way will be to feel into the soil and when the top two inches are completely dry, you will want to water.

This article will give you more information on the care of peaches: https://www.gardeningknowhow.com/edible/fruits/peach/peach-tree-care.htm

It is best to clean up the dropped fruit to avoid pests and disease.

This article will give you more information on this illness: https://www.gardeningknowhow.com/plant-problems/disease/weeping-amber-in-trees.htm

The issue you describe is not peach leaf curl. Not at this time of year, and not on plum, apple and apricot. Peach leaf curl only affects peach and nectarine. I believe you may have aphid infestations. But without photos I can only guess.
Look closely at the leaves, undersides, and pull open some curled leaves to look for insect pest activity.
To suppress an active, advanced infestation with organic program compatible materials, you can use insecticidal soap, or Evergreen pyrethum concentrate. Read labels carefully for mixing rates and precatutions.
For prevention, 70% neem oil every two weeks. Start your dormant spray program in December with oil and copper to suppress overwintering pests and diseases. In Santa Cruz I go 1st week Dec, Jan and Feb. Then switch to biological fungicide and pyrethrum in March when leaves and flowers are present. Dont use neem until flowering is finished or you may repel pollinators as well as pests.
Improve soil fertility and water management and you will have fewer pest and disease problems.

Immature fruit can be due to several factors.
These articles will help you.

https://www.gardeningknowhow.com/edible/fruits/fegen/reasons-for-small-hard-fruit.htm

https://www.gardeningknowhow.com/edible/fruits/peach/peach-tree-harvesting.htm

It's common, and is called gummosis. It could be the sign of a disorder, some disorders are more serious than others. Definitive diagnosis would require more information and photos, or preferably an inspection by an arborist. This article may help you make a determination of possible cause:
https://www.gardeningknowhow.com/edible/fruits/fegen/what-is-gummosis.htm