Depends on how you define "west". Pretty much any definition not based on economic levels would include Latin America. One indicator that a country is Western is that the primary native language(s) of the country has been written by its users using the Latin alphabet for a couple of centuries, (Thus for example, Romania and Turkey aren't really Western, tho they have been Westernizing for many decades now.)
Yes, and I include Quebec as part of Latin America.
Not unless you're being extremely pedantic, and if you want to be that, call it Ibero-America instead of Latin America.