You do not water your seeds if the mixture is wet through but yours wasn't and the seeds won't germinate if they are dry. with the mix dry mist your seeds every day and maybe more often.

If it were me I'd cut the center out of the lids on your egg cartons and take them out of the microwave. Then I'd soak the bottoms in a pan of water until the dark shows on top of the soil and put a piece of saran wrap over the hole in the lid. Then I'd set them in a place that is warm and free from drafts. A microwave closed has dead air and plants need some air. Then don't water until the mixture is dry again

Look on your seed package and it will tell you the number of days for germination. My guess is that it will be about a week. Start counting from the time you wet the mix

i would have used cardboard egg cartons, that way you can transplant to whole works - you learn by mistakes :)
Also, you would have been able to put the carton in a pan of water, and it would have soaked up the correct amount of water it needs. Plastic egg carton are a disaster. :)
- best regards, paul m.