Yes, and wall voids are one of their favorite spots. The space between your interior and exterior walls provides warmth, darkness, protection from predators, and easy access to the rest of your home through gaps around pipes and wiring.
It depends on the species, but most hornets nest in sheltered locations. Bald-faced hornets build large, visible nests on tree branches and building exteriors. European hornets prefer enclosed spaces like attics, wall voids, and hollow trees.
They definitely can, and ticks don't need forests or hiking trails to live. Any backyard with shade, leaf litter, ground cover, or wildlife passing through can support an active tick population.
Most mosquito species are most active during the hours around dawn and dusk, roughly from an hour before sunset through the first few hours of darkness, and again just before and after sunrise.