The thing is, zucchini plants are actually pretty enthusiastic about making flowers - they'll crank out way more than they need. A lot of what you're seeing drop are the male flowers, which just exist to pollinate the females and then fall off after a day or two. That's completely normal and not a problem at all. The female flowers are the ones with a tiny bulge at the base (that's the immature zucchini), and those are what you want to see developing.
Now, if you've got loads of flowers but almost nothing's turning into actual zucchini, that usually points to poor pollination. The female flowers need pollen from the males, and if you don't have enough bees or other pollinators visiting your garden, the flowers won't get fertilized and they'll drop without setting fruit. I had this exact issue a couple years back - beautiful plants, tons of blooms, basically zero zucchini. Turned out my garden was pretty isolated from where the bees were hanging out. I started hand-pollinating with a small paintbrush every morning when the flowers opened, and suddenly I was getting actual zucchini. Takes like five minutes per day. You can also try moving the plants or adding some bee-friendly flowers nearby to attract more pollinators naturally.
The watering and fertilizer side usually isn't the culprit here unless you're really overdoing the nitrogen, which can make the plant focus on leaves instead of fruit. But honestly, with month-old plants still blooming like crazy, you're probably feeding them fine. Focus on the pollination angle first and see if that helps.