GATE

There are many colleges who organize their own entrance exams, like under Guru Gobind Singh Indraprashtha University, Delhi Technical University, Jamia millia islami, Aligarh muslime university. You can try for any one all the other opportunities available. Though under current pandemic situation, it would be better to go for short term coerces on coursera or udemy or any other platform.

No, you have to go for the counselling process. Few steps we have to do in it. Firstly we have to register for counselling then we have to fill choices of Branches and colleges then after that you get allotted colleges and branches on the basis of rank. This is a similar way of process which happens also for B.Tech courses counselling in NITs. If you want to know more in detail then I am sending you an authentic link from where you can get all information about the counselling process. Please check it out. link-https://www.shiksha.com/engineering/gate-exam-counselling.