Agnew, Brighouse, fullback Liam McFarland, halfback Zac Donaldson, lock Aaron Einarsson and prop Pouri Rakete-Stones scored tries for the Bay and first five-eighth Harris Solomon kicked four conversions and a penalty.
Because the 16-team Jock Hobbs Memorial tournament at Owen Delany Park involves eight teams in each division, the four winning teams on day one qualify for Sunday's semifinals. The finals are played on Wednesday.
Drew has made no secret of the fact he wants his team to win the division two title which would give the Bay an overall placing of ninth, an improvement on last year's 11th. Kean, Hayes and centre Craig Sharplin played for Hawke's Bay at last year's tournament.
Waikato was the first division one team to book a semifinal courtesy of a 41-0 thrashing of Auckland B. Wellington also secured a division one semifinal with a 37-14 win against Otago.
A selection of games will be televised live on Sky Sport.