Why does my pomegranate tree have large fruit that splits open before they get ripe?
Citrus, or any, fruit cracking is caused by an uneven or irregular watering, such as when you have a drought and then suddenly you get an abundance of rain. This moisture causes the skin to swell and eventually crack or split open. This article for cracking oranges (which is similar in cause, effect, and treatment) should help: https://www.gardeningknowhow.com/edible/fruits/oranges/oranges-splitting.htm
My pomegranate tree is flowering well, but the flowers fall off before the fruit settles. Please advise.
It could be a pollination issue. If the blossoms are not getting pollinated, they will shrivel up and drop. You may want to give it a boost by pollinating the flowers by hand. Just use a small paint brush and swirl it around the inside of the flower and repeat on all the flowers on the plant.
My Pomegranate tree is just covered with blooms. Should I remove some of them to allow the fruit to get larger?
Congrats. Many pomegranate growers would give anything to have your kind of problems. I haven't seen anything in the references specific to pomegranates, but since it's recommended for most fruit species to remove some of the flowers of young trees, it would seem reasonable to do the same for poms.
My tree is about 10 ft tall and will not produce fruit.
This article should answer your question: https://www.gardeningknowhow.com/edible/fruits/pomegranate/no-pomegranates-on-trees.htm
I have this container tree, 7 ft, that I need to winter in my garage and wanted to know how I can keep it from going dormant so that it will have a good start in the summer to bear fruit.
Plants go dormant for a reason - they need to rest. Allowing your tree its rest period will help it to be stronger in the spring. Anyway, pomegranate is deciduous, so it drops its leaves for the winter. Here's some thoughts on overwintering: http://aces.nmsu.edu/ces/yard/archives/november-9-2013.html
Where the spots are on the fruit it is rotted on the inside. Even the healthy looking red fruit tastes bad.
Pomegranate is generally disease and pest free, but there are a few pathogens that can infect, and it sounds like you have a fungal or bacterial infection. You might be able to find out the specific infectious agent if you take fruit to the county extension service; they can also tell you what would be best to use against it. This link will help you locate the closest one:
https://www.gardeningknowhow.com/garden-how-to/info/what-is-extension-service.htm
Only a small part of the leaves are curled on my pomegranate tree.
Leaf curl can be caused by disease, insects, water and/or nutrient imbalance; or it can be totally natural and innocuous. Diseases will be accompanied by spotting, browning, or discoloration of the leaves. Insects will be very small and attached to the underside of the leaves where they can be scraped off, or they might be flying or crawling around. Examine the leaves very closely.
Pomegranates like well drained soil and full sun; other than that, they don't seem very fussy. This article has growing information: https://aggie-horticulture.tamu.edu/citrus/pomegranate.htm