New veg gardener, need mold identified and solutions please

Hello all,
I am new to gardening (if I can call it that) and whilst I've had success so far, I have had to isolate a few of my plants that have started growing some sort of mold...oh the anxiety it causes me to think it may spread!! I live in a flat and use what space I can... can I please have some suggestions as to what is growing on my pepper and tomato plants...solutions and prevention from those in the know please! and if I need to treat all of my plants now and with what?

I have attached 3 images although I'm not sure why but they may have doubled....

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The mould is not on your plants, its on the compost.
Not sure what kind of compost you are using.

I'd suggest that just maybe you need to allow the surface to dry out between waterings.
I doubt the mould will affect living tissue, but best you dont let it carry on.

You could try using a compost with more in the way of soil in it, one that says it contains John Innes.