BCA

The following are the best Colleges of BCA course in Pune.
1, Bharati Vidyapeeth Deemed University
2. St. Mira College for Girls BBA Computer application)
3. Savitribai Phule Pune University
4. MITWPU.

The following are the few Colleges offering the BCA+MCA dual degree course in Madhya Pradesh.
1. Renaissance University Indore
2. IIPS Indore.

The eligibility criteria and admission details related to BCA of Symbiosis Institute of Computer Studies and Research, Pune are given below.
Eligibility criteria : Student passing XII from any stream or equivalent government approved diploma in Engineering/Technology with minimum 50% marks (45% for SC/ST candidates)
SELECTION PROCEDURE : Symbiosis Entrance Test Score, Personal Interaction and Writing Ability Test (PI-WAT)
So from above you are eligible. If you have completed you Engineering Diploma with minimum 50% of marks.

Yes, you are eligible for BCA from St. Xavier College, Ahemdabad. For more details click on the link below.
Good luck.

Yes, government has changed the whole MCA pattern to two year in all the Indian colleges.

You just need to pass in your last qualification as an eligiblity criteria for it at IGNOU.