First, before you treat the pests, it helps to identify exactly what bugs are on your plants. Also, your location is going to matter to others who might offer advice. As an example, where I live, there are only 2 basic types of white bugs that I might find as a pest on my plants, and neither would cause flowers to drop.

Photos would help to identify the insects, understand the growing conditions better, and to diagnose what could be causing the leaf color and flower drop issues.

Also, and no offense to anyone posting on the Organic Gardening forum, but your problems are more of a Vegetable Gardening forum issue. Since you've mentioned you prefer organic solutions, just post the question over there... it gets a lot more traffic.

Blossoms falling off without setting fruit, leaves off color indicate a nutrient problem. Are these Eggplants growing in containers or in the ground? A terrace garden suggests container gardening.

What kind of soil is being used?