By Swati Pandey and Charlotte Greenfield WELLINGTON (Reuters) - At least three senior ministers joined the race to replace New Zealand Prime Minister John Key on Tuesday, a day after Key stunned the nation by resigning to spend more time with his family, with his deputy Bill English seen as the front-runner. English, the finance minister and deputy leader of the ruling center-right National Party, announced his candidacy, as did Health Minister Jonathan Coleman and Police Minister Judith Collins. English, who has been endorsed by Key, is seen as best-placed to win but some analysts felt Coleman stood a chance.
