Erm...well...Botanist to be, you've got quite a few issues on that there one plant!!!
The powdery mildew is easily solveable - get thee to a garden centre and look for a fungicide which controls powdery mildew, or leave it be depending on how bad it is.
Catterpillars/worms - either pick them off and squish them one by one, or if you're happy to use sprays there are a number of insecticides available - look for a naturally based one first - bacillus thuringiensis is a bacterial pathogen - you may be able to get that in the US, or try looking for a Pyrethrin based one (natural source rather than synthetic). Alternatively there will no doubt be a selection of synthetic products available at the garden centre.
The brown spots - how big/small are they? what is the temperature at the moment? wet/dry? if its hot and dry, it could be spider mite, and this would explain the webbing too - but a picture would be best for diagnosis.
Hope this helps!
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