Can I do MBA after getting graduation in English major? What specialisation should I take?

Yes, you absolutely can. With an edge in communication and written skills, you can do MBA in any field of your choice. Normally the key specialisation areas are: Marketing, Operations, Human Resources and Finance. With an English Major, you can fit in well with a Marketing specialisation as the core

Yes you can. What specialisation you should choose it totally depend on your interest, there is no barrier to choose specialisation.