Can I pursue MBA in IT after completing BCA?

Yes, you can opt for MBA in IT and operations after BCA.

Any graduate who has qualified the management aptitude test as applicable to the institute of study will be eligible to do an MBA. To be more loyal to your stream, an MBA in IT/Systems will make you feel good.

If you want to become a software engineer, pursue MCA or B.Tech course.

Yes, but after BCA you must go for other specialization other than IT, so you have more opportunities for placement in different sectors. You can go for PGDM with marketing, finance or international business management. Good luck.