Edward had been due to contest the Olympic class lightweight double, but her partner Lucy Strack is back training on Lake Karapiro working on technical elements of her performance, meaning Edward had to do the non-Olympic single seat event.
She won well, leading all the way, in 7:41.170 from British and Chinese rivals.
The lightweight four of James Hunter, Peter Taylor, James Lassche and Curtis Rapley turned in an impressive display, winning in 5:53.810, beating home the fancied Danes by almost two and a half seconds.
The women's quad of Georgia Perry, Lucy Spoors, Sarah Gray and Erin-Monique Shelton did well to nail third, less than 2.5s behind second-placed United States with Germany convincing winners.
Brothers Robbie and Karl Manson turned in a handy display, taking fourth in the men's double scull, in a tight finish in which winners Croatia, Azerbaijan and Australia were covered by less than 1s.
The third and final cup regatta is at Lucerne on July 11-13.