A production company is responsible for creating a film through budgeting, scheduling, scripting, casting, and more. They find directors and actors and are responsible for any issues during filming, like injuries.
A distributor's role is to promote and distribute the finished film to audiences. They determine the release date and strategy for promoting the film through previews, advertising, and releasing copies to cinemas and for home viewing.
The filmmakers' project would be eligible for funding from the UK Film Council and BFI Film Fund as it is a British independent production with a UK cast and crew. Film4 would be a suitable distribution partner as they focus on similar lower-budget British independent films.