Can I pursue full-time MBA?

Yes and it is better, advisable to attend a full time MBA from an A grade institute. That will give you more perspective, you can link with your work experience and can be a better manager.

It is a good idea to take a break and pursue full time MBA. Your work experience will come to your advantage at the campus placement process. Since you have worked in BPO, it is important for you to evaluate your skills, interest areas and career aspirations and based on it decide the specialization