BBC study focused on England, Scotland and Wales
London-based group organizing ahead of city's Pride celebration
The Duke of Cambridge would still be 'worried'
Event took place with 'no major incidents'
Case could impact Caribbean countries with similar statutes
Organizers joined anti-Russia protests in country's capital
Mark Takano among Global Equality Caucus founding members
Activist blames incidents on 'far-right groups'
Government officials have asked activists to cancel event
Aldo Dávila is member of leftist Winaq Movement