Uh, oh, Carol the green worm on the dill may have been a little butterfly caterpillar. Here, the black swallowtail butterflies love to lay their eggs on my dill, and when they hatch (until the blue jays discover them) the little green caterpillars devour the dill. Most likely there was an egg on the dill somewhere when you brought it into the greenhouse. Yes, it will eat your dill, but the plant will grow back and the caterpillar will cocoon and make a butterfly . . . your choice. You may see more.
Same with the white moldy stuff. It was almost certainly in or on the soil when you brought it in. Spraying with a very mild solution of baking soda - 1/2tsp. per quart of water - may help to keep it from progressing, but to hope there will be no fungi in your greenhouse is pretty much futile. It's an ideal situation, moist and warm, for the growth of fungus, and until you get it under control in the greenhouse, it will spread around a bit via air movement.
Good 'housekeeping' is the answer. Scrape or scoop it off wherever you see it on soil or pots. Remove every leaf that has any on there and bag them in plastic so the spores can't escape. Keep this up for the next few weeks and it will get to a manageable level. But keep an eagle eye out. Spray unaffected foliage and soil surfaces with the baking soda solution. It changes the pH on the surface of the leaves and soil to make it unhospitable to the spores.