You have two nasolacrimal ducts that connect your nose to your eyes. Moreover, the upper end of the tear duct has two openings. Thus you have at least seven holes.
Sure but the ear/nose/throat are basically just a filter of the mouth hole. But yeah humans are basically a GI tract plus appendages, which is indeed topologically a toroid.
I think it depends on what "counts" as a hole. Presumably you're counting your digestive tract as a hole from the mouth to the anus. But by virtue of me being able to hold my farts in, my anus is airtight. I don't think that the digestive tract should count as a hole when my anus is in the normal airtight state. I think that normally I'm a double toroid and I temporarily become a triple toroid when someone pulls my finger.
