It is hard to diagnose without seeing the insect or damage. There are a few different insects that can feed on the fruit itself, including thrips, katydids, earwigs, and various caterpillars to name a few. Based on the description, I believe this to be some type of caterpillar/larval insect. I suggest cutting into the fruit to see if you find any larva or adult insects. You can compare the damage you see, to the photos of insect damage at this site: http://ipm.ucanr.edu/PMG/C107/m107bpfruitinvert.html#GOUGING. The green spots you are seeing may be related to the insect feeding, or could be caused by abiotic factors or disease: http://ipm.ucanr.edu/PMG/C107/m107bpfruitinvert.html#GOUGING. Monitor the spot to see if it changes shape or color, and send some photos if it progresses.