Not sure about making you feel less run down, but - get some Gold Bond 'medicated' body powder. It comes in a sea-green container. It has some menthol in it, and when you put it on (like under the breasts, on the chest, down your ribs, between the thighs but not on the bits) it feels really good, tingly and cool. Also helps with sweat and shirts not sticking so bad, etc.

If your home is warm, put a damp washcloth or small towel in the freezer for a couple minutes, then put it on the back of your neck. Makes your whole body feel cooler!

Hydrate as much as possible, and try and eat nice cool, wet foods, like salads or melon, that kind of things. Popsicles. It will just make you feel cooler and lighter food always helps.

Also, do your best to sleep cool, you'll wake more refreshed. Close up any sun-facing shades or blinds or curtains in the bedroom to try and keep the overall temp in your bedroom down during the day.

I can't help with the oily skin, sorry.