The general consensus at the moment is that there's no apparent food chain where mosquitos are the primary source.
Except for places like the arctic, where they're basically primary pollinators and a food of choice for most predatory insects.
Do all the species of mosquitoes your talking about feed on humans, and do they carry malaria?
Yes and yes?
No, they don't.
The (many) species of mosquito found in the Arctic do not carry malaria. Malaria is largely a tropical and subtropical disease.
Avian malaria is endemic to Alaska, and both Finland, and Siberia formerly had endemic human malaria, especially the more southern regions. Something up there is definitely capable of being a vector for it.
But is malaria a big enough problem in the arctic to bother targeting the mosquito species there that could carry malaria? From a quick Google search, I'm guessing no.