Degree

According to my knowledge, there is no one degree course which completed in one year.

Yes, they offer B.Tech degree in information technology in distance mode.
You can refer this link for more information on there website.
http://www.studyandlead.com/programmes-1.php

You can take admission in any good university in Canada by getting good marks in GRE TOEFL and ILETS.

Yes, Bachelor degree is compulsory. You have to do your graduation to go ahead and you are eligible for Zee Media exam. You can take this exam.
Good luck.

Yes, you can pursue degree from some private institute as government may not allow admission. But, you can try to take some private institute.
Good luck.

UGC NET 2019 Eligibility:
Candidates who have secured at least 55% marks in their Masters degree exams (in streams such as humanities, social science, electronic science, computer science and applications, etc.). From a UGC recognised college/ university fulfill UGC NET 2019 eligibility criteria. It may be noted that minimum percentage required to meet UGC NET eligibility criteria for candidates belonging to SC/ ST/ OBC/ PwD categories is 50%.

These are the top colleges in KR puram Bangalore.
1) United International School.
2) Bangalore City College.
3) Bangalore Education Guide Line Pvt Ltd.
4) G R V Business Management Academy.
5) Cambridge Institute Of Technology. The fees starts from 50,000.

First of all, choose the field in which you want to do M.Sc. Then search the available colleges in that field. Apply for the admission in the college which suits you best. All the best for your future.

I think you can go for MCA in Ramswroop as there are good chances to get placed in good multinational company with a decent package.