Bugs are part of living in the tropics, I'm not sure you are going to find plants to keep them away.

Rats and squirrels, you need to make sure there are no holes in the eaves, screen any openings to the house etc. Mosquitos mean you have water pooling somewhere; make sure all pots and anything at all that can hold water is kept upside down.

I've never heard of any plants that will keep insects and pests away from a house, in fact the more plants you have around the house, the more you encourage termites. The termite control companies always recommend not planting anything within several feet of the house.

We have just about everything on your list too, and more (no squirrels though, unless you count mongooses as "squirrels", but they're not a problem). If there was something natural that would keep them all away, I'm sure somebody in Hawaii would have made a million dollars off it! Just think of it as an opportunity to commune with nature. :-)