lIXII said:

Concerning your eggplants, that's what you call marginal scalding. Most typically associated with a bacterial canker. This stuff is bad- fortunately it is opportunistic concerning hosts, & typically only infects solanaceous veggies (peppers, tomato,  potato, eggplant) if you have it, just never plant any other solanaceous plants anywhere near it, or soil/containers where it has been.
Edit: there are cankers of other plants too, like Prunus spp., but they are different bacteria, & I think are exclusive to host type or family/ species.

You can hope that you don't have that- but some other tips: that plant is too immature to have fruit. You would want to pinch off flower buds until the plant is larger & then it will have a heavier bloom & larger size & be able to sustain many fruits (instead of one that is too taxing for a smaller plant & will stunt it).

Eggplant is really sensitive, more than other veggies in its family, & needs to be hardened off carefully etc.

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