Short answers, pulled from the story.
The Campaign for Nuclear Disarmament was founded in November 1957, when a committee formed with Canon John Collins as chairman, Bertrand Russell as president and Peggy Duff as organising secretary. Its first public meeting took place on the 17th of February 1958 at Central Hall in Westminster, attended by 5,000 people.
Gerald Holtom designed the symbol in 1958. It combines the semaphore signals for the letters N and D, standing for Nuclear Disarmament, inside a circle.
The Aldermaston March was an annual Easter demonstration the campaign organised between 1958 and 1965, walking from the Atomic Weapons Establishment near Aldermaston to Trafalgar Square in London. Sixty thousand people marched in 1959, and the number reached 150,000 in both 1961 and 1962.
By the early 1980s the campaign claimed 90,000 national members plus a further 250,000 through local branches. Under Joan Ruddock's chairmanship between 1981 and 1985, the organisation said its membership rose from 20,000 to 460,000.
Yes. MI5 classified the campaign as communist-controlled from the late 1960s until the mid-1970s, later downgrading that to communist-penetrated, and the officer responsible for its surveillance in the early 1980s, Cathy Massiter, resigned in 1985 and spoke publicly about the operation.
The campaign currently presses for the cancellation of the Trident missile programme, the elimination of Britain's nuclear weapons and global nuclear abolition, a ban on depleted uranium weapons, and the closure of Britain's nuclear power industry. It also opposes US military bases and nuclear weapons in Europe and British membership of NATO.