The right order is Kingdom, Phylum, Class, Order, Family, Genus, Species. A good trick to remember the correct order of it is King Philip Came Over For Good Shortcake. Just use the first letters from that little sentence and you should remember it!
No. The biological classification ranks are kingdom, phylum, class, order, family, genus, and species. A rank above kingdom, called "domain" was introduced in 1990, but it is not universally accepted by biologists yet.