Not sure about the bugs you have there, but a nice organic pesticide is Organocide by Organic Laboratory's Inc. Following the directions for spraying. Error on the side of too little to begin with. Too much of the sesame and fish oil will cause your plant to die.

Good luck!

Before spraying anything proper identification of the problem is necessary. Even though the product is supposed to be an "organic" pesticide it is very broad spectrum that should only be used as a last resort product. This disclaimer on the label should give every organic gardener pause, " Controls a wide range of mite and insect pests such as (but not limited to): "
The "white fluffy looking bugs" that might be mealy bugs can be controlled as easily as the Aphids they are related to with sharp streams of water. The white spots on the leaves need better identification since that could be Powdery Mildew, or something else.

I don't think I have powdery mildew as the spots move around and leave a sticky spots.

I think I'll try a stream of water first, then spray with the Organocide, if I can find it here.

Thanks for the help.

Could be aphids or the cast skins of aphids.

So, to avoid further guesses from the masses, is there any chance you could post a photo?

After further examination I pulled the plant, it was just to far gone. I know it was mealy bugs, plus something else that was killing it. I still am seeing mealy bugs on some plants and I think it must have been aphids on the cucumber.

Sorry I don't know how to post pictures on this, or any other site! Something new I have to learn.