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Hostas don't usually need to be separated for the sake of their health, but they do take very well to division. This article should tell you everything you need to know about it:
http://dodge.uwex.edu/2011/05/dividing-and-transplanting-hostas/

Can you include a photo? This could be quite a number of things. A photo can help me to give you a more accurate diagnosis.

If you are going to cut these back, I would recommend cutting them only halfway, as the fruit grows on the older brambles. As far as getting rid of the insects, I recommend a few things that I use as well. You can mix one or more of the following in warm water: rosemary oil, garlic oil, lavender oil, neem oil. Also, wettable sulfur can be used to deter pests.

Neem oil will leave an oily residue an a bitter taste. And may not be effective for contact knock down.
I would use the botanical chrysanthemum extract called pyrethrum or pyrethrins, which biodegrades in 12 to 24 hours with sunlight. After which you can re-enter sprayed area and harvest berries. Wash thoroughly before eating. (Not to be confused with the synthetic chemical version called pyrethroid which is effective but has a longer residual presense and should not be consumed for a month or more.)

https://www.domyown.com/evergreen-pyrethrum-concentrate-p-1875.html

I actually recommend pruning up to what you were doing. The fruit grows from the old wood. Doing that will result in a decrease in fruit. I will get with Admin. about the article. Thank you for bringing that to my attention.

I doubt if the powdery mildew on the crape myrtle is related to the raspberry plants, but its possible. The powdery mildew on crape myrtle is usually a different species from other powdery mildews on other plants.
The entire tree photo shows that the tree has been heavily pruned and rampant vegetative growth has resulted. That type of growth will be very susceptible to powdery mildew. Do light thinning and shaping and don't top the tree heavily. It takes acquired skills, you may want to hire a professional.
Try this fungicide for preventive treatments in the spring and summer:
https://www.planetnatural.com/product/green-cure-fungicide/