(Corrects typo in headline) By Kate Chappell and Brian Ellsworth KINGSTON (Reuters) -Britain’s Prince William and his wife Kate arrived in Jamaica on Tuesday as part of a week-long Caribbean tour, hours after activists protested to demand reparations for slavery amid growing scrutiny of the British Empire’s colonial legacy. The Duke and Duchess of Cambridge arrived in Belize on Saturday to start the tour that coincides with Queen Elizabeth’s 70th year on the throne, and will conclude it over the weekend with a visit to The Bahamas. They were received by Jamaican foreign affairs minister Kamina…