Course of Action I: Persuading faculty members not to go on strike is a proactive measure that can help prevent serious problems. This is a strong and reasonable course of action.
Course of Action II: Suspending faculty members who join the strike may be a way to deter them from participating in the strike and maintain order, making this a valid course of action, albeit a more severe response.
Course of Action III: This course of action suggests that the management should not worry about the situation, which is not appropriate given the potential seriousness of the problem if faculty members strike. Ignoring the issue could lead to significant consequences.
So, the correct option is (B): Only I and II follow.