Celestek. Where are you located? Most of those fruits do fine if you do not go too far below freezing. If you are zone 9-13 they should be good to go in the ground. Otherwise they will need to be in containers and have winter protection.
Most citrus will flower in the cooler months. Most of mine did in November and December and have put on fruit. Remember 99% of the flowers drop anyway and the tree size determines how many fruit it can support. My Satsuma still has fruit but is starting to leaf out so it should be blooming soon after that.
I feed my citrus trees when they leaf out and flower. I give them citrus food that contains micros. In fact I use citrus food for most of my plants except my vegetable garden that only needs nitrogen based on the soil test. The Satsuma and Bear's lime only fruit once a year so they get feed when they start to leaf out and again when the fruit is half grown. The other citrus, calamondin, and meyer lemon can have more than one flowering a year so they get fed more often. Calamondin is probably the easiest one to grow and set fruit and for me, it fruits nearly year round. The Bears' lime produces one crop and it takes months to mature.
If you are growing citrus in containers they will dwarf. Aggie horticulture had a good publication on keeping patio trees.
https://aggie-horticulture.tamu.edu/pati ... iners.html
I get scale, citrus aphids and thrips on my citrus trees. It is hard to keep them off. I do put out ant bait and that helps a lot in controlling the aphids and scale, but the thrips do damage the skins of the fruit. They are still edible and I tolerate them since anything I use on them will also kill their predators. My main weapons are a blast of water to wash off the aphids and sooty mold, alcohol, and occasionally a sponge dipped in insecticidal soap or horticultural oil.
Figs are easily grown from cutting and will fruit from a cutting from a mature tree. They do tend to drop leaves during the cooler months. The Brown Turkey that I have has really never stopped fruiting although the fruit takes longer to ripen in the cooler weather.
Pomegranates are also easy to grow from seed. They produce within three years. However, most people here grow the dwarf pomegranate and they are popular bonsai specimens because they take to containers very well.
Happy gardening in Hawaii. Gardens are where people grow.