Teaching & Education

There are many reasons why some students do not register for a PhD and favour an MPhil. Firstly, an MPhil is sometimes the name for a one-year Masters as is the case at the University of Cambridge. In some education systems like that of Pakistan, the MPhil is a research degree which includes a strong coursework component, which is often a requirement for a PhD applicant. For some disciplines, notably in the humanities, the MPhil is regarded as the most advanced Master's degree.
Other students, unfortunately, do not at the time have the financial means to undertake a PhD but still want to pursue a research degree. Some choose a one-year Masters by Research, and some choose an MPhil which will normally take two years. Sometimes, and although rare, a research degree can be for one's own interest and an MPhil fulfils that personal ambition without the need for PhD.

What exactly is you job profile? If you want to apply for B.Ed, you can certainly do so, but as far as teaching is concerned, you will be only eligible to apply for teaching in class I-VIII.
A graduate with a B.Ed is not considered eligible to apply for teaching in Higher Secondary Schools or Colleges.
To be eligible to teach in colleges/universities, apart from holding a Master's degree, you will have to qualify National Eligibility Test for Lectureship or the State Eligibility Test for Lectureship, both conducted under the regulation of University Grant Commission.
I would suggest you go for MBA after BBA as MBA does not restricts you to any particular sector and you can avail a lot of opportunities after completing MBA course from a good institute.