Correct, 8th member a year later. The original 4 were Prov, St Johns, Georgetown, and Cuse. They invited the others to form the conference. Nova sat on the fence for a year.
Sort of, but that's like saying PC was the only original BE team since it was Gavitt's brain child. The original BE teams Providence College, St. John's, Georgetown, UConn, Seton Hall, and BC. They were the teams who formed the conference in 1979.
You are right that UConn wasn't dominant from the start, but despite not playing in the Big East for last seven years, no team has won more regular season championship, BET championships or National Championships in the Big East than UConn. (Not even counting the natty we won in the American.)