I am trying to take a comprehensive view based upon my experience as a renter/guest and a host. Whenever I have rented a place, short or long-term, I inform the host/property owner of any deficiencies straight away, even if I don't want to request any assistance with remedying the situation. I also make a point to not leave a place in worse condition than when I moved in.
How much was your cleaning fee or deposit? What did the house rules say about cleaning up? I don't think the host asked $90 more just for the couple of items that you mentioned, but I do have some questions about what you've stated.
When the air conditioner wasn't working, was there already in place, or did you request an alternate means to cool the place (e.g., ceiling fan, floor fan, screened windows and doors that can remain open while occupying the space)? If the answer is no, and the weather was uncomfortable, please explain why you did not seek a means to cool the space.
What was inside of the boxes and why did you leave them for the host to throw away? Was there a reason why you couldn't take the boxes to the garbage bin/drop of location or dispose of them yourself?
Used razors present a potential biohazard. You should have disposed of it in a manner so no one could cut themselves, or be exposed bodily fluids or chemicals (depending upon how it was used). I know the rat feces was gross, and unhealthy, but I personally would have felt extremely uncomfortable cleaning up a razor.
Normally, hand prints appear as smudges, and are difficult to discern with a normal camera lense. So, was there anything on your hand that allowed a hand print to be visable and easily photographed? Did that hand print cause any damage to the table's finish? Were there other visible hand prints left behind?
During your two months stay, did you normally wash the towels, or did the host provide fresh ones to you on a regular basis? Did it take significant extra effort to wash the towels before your departure, or did you just throw them in with your personal laundry? Did you have to go to the laundry mat or use special detergeant or fabric softener to wash and dry the towels?