Registered Trademarks

Q. When using “Google” as a verb—Googled, Googling, etc.—should it be capitalized? Even if one is not referring necessarily to the use of the official Google website, but merely using “google” loosely as a synonym for checking something out?

Q. Is it proper or necessary to use the circled R each and every time the registered trademark name is used in a document? What is the correct usage for the symbol?