BCA

You are not eligible to seek admission in BCA unless you clear 12th class.

Check their official website to know the admission procedure.

BCA/MCA holders can apply for the position of programmer or software professional. In banks, MCA holders seek the position of specialist officer. GATE qualified candidates can join as Graduate Engineer Trainee in firms like GAIL and SAIL. MCA degree offers much career scope and it can be pursued after completing BCA. MCA holders can try for a job in firms like CDIT or CDAC.

For BCA it is not at all necessary to do 3rd year in any foreign college it will be in Christ College only, however they do offer you a program in which 3rd year studies are done in any of the affiliated colleges abroad.

Visit the link given below:
https://www.shiksha.com/it-software/colleges/bca-colleges-pune

B.Tech CSE is the first priority. If you are getting IITs, NITs, VIT, BITS-Pilani or other top institutes then B.Tech CSE is the best otherwise you can go for BCA.

Check their official website to know the placement record.