garden help!

So my herbs are growing at an excellent rate, and I have even enjoyed some basil and thyme already but now I have a problem :-(

There is a funny white mould or mildew growing under the parsley, but only under this one, the other herbs are fine.

What is worse, there are pests on the parsley too, teeny weeny little green guys. I don't even know if they move, but they are there.

This was a short lived success...

Edit: yes, I did look online already and it could be a number of things... I think I'll go to the nursery again and ask for help.