BCA

Hi,
After BCA, scope of getting a government job is very low. If you are quite good in programming, You may apply in CRIS. All IT based activities are performed by CRIS, rest other software are designed by TCS/WIPRO but you wont be considered a Gov employee. I did BCA. But Later I Switched to Government exams. Currently I am preparing for SSC. So its upto you if you could mend your ways if you want a Government Job.
Also, you can apply for UPSC OR PSC. Also there is AFCAT(AIRFORCE COMMON ADMISSION TEST), CDSE(Combined Defence Service Exam) which falls in UPSC, Civil Services, Sub-Inspecter post in POLICE. Its your choice which government you wanna serve State or Central. If you have a degree you can go for any government jobs that has vacancies. I just named a few above but you can apply for any of the government jobs available.
All the best.

Well, to be frank, BCA if done properly and on a regular mode, is a full-fledged programme and doesn't really give time to pursue another course simultaneously.
If your questions is what 'else' can be done alongside to make the most out of BCA, then you may read the below text:
1. Internship- There is a summer internship component in most BCA programmes and students are graded on them. Take this very seriously. You may not get the exact profile you aspired for but it is a great way to get an exposure to the functioning of an organisation. Both startups and MNCs have different dynamics, so try to assimilate whatever you can.
2. Learning enhancement certifications- Aptech, NIIT, etc. offer some programming and networking certifications- Java, PERL, SQL, R, Python, C+ to name a few. Join a certification based on your areas of interest and make it a talking point on your resume.