Should I choose a course related to business engineering given my background in UK for a Bachelor's/Postgraduate?

Yes, a course in business engineering can be a strong choice with your background.

Your four-year bachelor's degree and postgraduate studies provide a solid academic foundation. If your previous studies included subjects like mathematics, economics, or management, you’ll likely transition smoothly. If not, you may need some foundational coursework in those areas.

Business engineering programs in the UK often accept students from diverse fields and prepare you for roles that blend technical and managerial skills, such as project manager or business analyst.