 Wevers was educated at Rathkeale College from 1965 to 1969, and went on to Victoria University of Wellington, graduating with a BSc and BA (Hons) in economics.He joined the Ministry of Foreign Affairs, European Division, in 1977 and in 1982 was Second Secretary at the New Zealand Embassy in Japan.From 1985 to 1987 he was Private Secretary to the Prime Minister and Minister of Foreign Affairs, David Lange, in Wellington before being seconded to the Institute of Policy Studies at Victoria University of Wellington to undertake research on relations between Japan and New Zealand.