Can I only get admission in a college to pursue B.Tech in CSE through management quota after June 2017?

Don't believe in these types of rumors .All these things are myths and yes, counselling for many colleges will be closed till the end of June or July first week. So just Participate in more and more counselling's and choose the college which you think is best.

Dear friend, If you wish to take admission in the mid, you might have to pay donation but if you take admission through the regular process then as of current scenario no donation is required.