Cory Eggs

It is up to you. The eggs might be eaten before they can hatch. If they do survive that long, the fry will be tiny. My pygmy cory fry stayed on the bottom of the tank so they are not likely to be sucked into the filter - I only discovered there were fry when I saw little wriggling things when I checked the water change bucket for shrimps I'd hoovered up.

If you don't mind about the other fish eating the eggs/fry, leave the eggs where they are. If you want to try to save them you could try very carefully scraping the eggs off and into a fry net although with the net kind some fish do manage to suck eggs and fry through the fabric. I speak from experience with honey gouramis doing this 

According to Seriously Fish, sterbai eggs hatch in 3 to 5 days. The actual time will depend on the temp, with warmer being faster.

If they've spawned once they'll probably spawn again. One trick you can try is to do a water change using cooler water than already in the tank. It simulates the melt water coming down from the mountains in spring, which triggers spawning in many species including cories.

Egg laying fry don't usually go swimming off the instant they hatch like livebearers do; they live on the yolk sac for some time depending on the species. This is a few days for dwarf cichlids, which is why their newly hatched fry are referred to as wrigglers. I'm not sure how long this phase lasts in cories.