JEE

https://examupdates.in/jeecup-question-papers/ From this website, you can get old question papers of JEEC UP.

Hello Vrushu,
The trend perhaps is not to reveal anything about the cut-offs! College website has no details. But it is gathered that for Aeronautical engineering branch, cut off was around 60K. But then there are different categories of admission and cut off is different for each.

You need a rank under 500 to get admission in any of the top 2 colleges.

There is no home state quota for DAIICT. The seats in DAIICT are allocated as follows for the B.Tech course:
Out of the 300 seats, 150 seats are allocated through the state counselling process called ACPC and rest through All India Quota and NRI quota (~ 5%) for which a rank list is prepared based on the JEE Mains rank list which according to past trends lies around 15000.

Yes, the application process has started.
JEE Advanced Application forms are going to fill up from 2nd May 2018. JEE Advanced is on 20th May 2018. All of you might be preparing well for the exams but a single mistake can lead you in problems so you must fill the JEE Advanced form carefully with attention and must not make any mistake while filling self-name and parents name.
Image size and color should be according to the website
signature, while selecting online or offline mode, while selecting exam center.

Studies on a regular basis can do wonders. We often don't realize how much time we waste daily just by thinking about things we cannot do much about. Hence, just do it. Don't think too much on what all you have to complete, what all you need to revise, etc. Don't get me wrong. I am not saying that you should not plan, but thinking too much and getting scared by looking at your to-do-list will only make things worse. Hence, make the to-do-list and sit down and start working. Don't worry whether it is too long, etc.
First things first. Focus on the present and make sure you are not losing on the current topics. Give them your very best.

Appear for JEE for HM after class 12th.

I totally agree with Radhika.
But, coaching is required for JEE Advanced
Or else, the questions would be Greek and Latin.
JEE Mains can be written without coaching.

I cannot comment about SPA or IITs, but NIT admissions are solely based on your JEE Mains paper. Only your AIR in Mains are considered not of JEE advanced.
PS: I am assuming that the Paper 2 specified in your question implies JEE advanced paper 2.