Members of Jane's Addiction entangled themselves in a legal tug-of-war this week, with several members of the rock band suing the lead singer, who retaliated with a lawsuit of his own.

Eric Avery and Stephen Perkins — the band’s bassist and drummer — joined Mr. Navarro in a lawsuit accusing Mr. Farrell of assault, battery, emotional distress, negligence, breach of fiduciary duty and...