The correct answers to these open questions are the following.
What was Gandhi's approach to winning India's independence from Britain, and how was it influenced by India's religious traditions?
Mahatma Gandhi's approach to winning independence was through non-violent protests and demonstrations. Gandhi was a firm believer in peaceful demonstrations and to avoid violence and aggression at all costs. This influenced the way Indian people follow religious teachings and their conception of the spiritual world. Indian people still practice meditation and introspective forms of religion such as Hinduism.
How might cultural diffusion have affected Gandhi's life and actions?
It affected indeed, in that society in India is the result of different religions, races, ethnicities, and languages. These factors spread through many regions of the country, and Gandhi had to understand this cultural diffusion in order to spread the message of his independent and nonviolent movement across India.