Employers' liability is only a legal requirement once you take on staff or labour-only help. As a sole trader tutoring alone you do not need it. If you do take someone on, even casually, it becomes a legal requirement with a £5,000,000 minimum limit.
Business interruption replaces income lost after damage to premises, stock or equipment. If you teach in students' homes, online or in hired spaces, your income does not depend on premises of your own, so it does not apply to you.
Directors and officers cover protects company directors from personal liability for management decisions. It becomes relevant if you incorporate as a limited company; as a sole trader it does not apply.