Updated April 28, 2020:
Cups marked “M” are from a Mesclun Mix:
Growing info: https://www.botanicalinterests.com/product/Farmers-Market-Blend-Mesclun-Lettuce-Seeds
As seedlings it can be a little tricky to determine the exact type but in general, keep the seedlings moist in partial sun (ideally, in the morning before it gets too hot).
Cups marked “B” are Basil:
Growing info: https://bonnieplants.com/product/sweet-basil/
The seedlings have been doing well in near-full sun as long as the soil is kept moist. If they wilt, some water and a shady location should help.
Cups marked “RR” are Red Romaine
Growing info: https://bonnieplants.com/product/red-romaine/
Partial shade seems to be best, avoiding afternoon sun. Keep moist. If they wilt, some water and a cooler/shadier location should help.
Cups marked “P” are Parris Island Romaine
Growing info: http://www.heirloom-organics.com/guide/va/1/guidetogrowingparrisislandromainelettuce.html
The seedlings have been doing well in near-full sun; water lightly daily. 
Cups marked “C” are Honey Plus Cucumber
Growing info: https://www.burpee.com/vegetables/cucumbers/cucumber-honey-plus-hybrid-prod500733.html
The seedlings have been doing well in near-full sun; water lightly daily.