Brothers Brent and Darren Robinson and their father Warren occupy three of Rakon's six board seats.
Hawkins has said chief executive Brent was not the right person for the job and Warren, who founded the high-tech component maker in 1967, should stand down.
The company has only made one annual profit - $3.2m in 2015 - amid total losses of $118.7m over the past five years, according to the Shareholders Association.
Rakon chairman Bryan Mogridge is also up for re-election next month.
But in the letter Hawkins said the association was wary of creating a situation where the company was left "rudderless" or in breach of NZX rules that require at least two independent directors.
"As an experienced independent chair, Mr Mogridge has a role to play in getting appropriate new directors in place, at which point we would expect him to step down."
Rakon shares, which floated at $1.60 in the firm's 2006 IPO and soared as high as $5.67 within a year, closed up 0.5c at 22.5c on Friday.