Weldon was a former director of licensing and authorisations at the BMA, where he worked in various roles over 15 years.
Currently a member of the senior management team at Marsh Management Services, Weldon serves as senior vice president, team leader for supervising finance and insurance managers.
The appointments are among several changes announced by the 11-member BDA board following its annual general meeting on 13 December.
Scope, who is chair of Willis Towers Watson Bermuda (WTW), succeeds Kiernan Bell as chair and director Stephen Weinstein will take over as deputy chair from David Cash.
Both Bell and Cash are to remain on the board as independent non-executive directors.
BDA director Derek Stapley and original chair Caroline Foulger have both retired from the board, having served the agency since its establishment in 2013.
“I feel honoured to take up the chair of the BDA, and having been on the board since inception I have seen firsthand the contributions of the previous chairs, Caroline Foulger and Kiernan Bell,” said Scope.
“I want to follow their lead and continue to promote free thinking and positive mentoring from the board level to BDA staff, and progressive promotion of the jurisdiction with accountability to our stakeholders.
Weldon added: “It's a great honour to join the board of the BDA, and I'd like to thank my fellow directors for this opportunity.”