Kurukshetra University

The tentative Date is 29 September and this goes on with Fine to the Month of March.
The Prospectus for the 2018-19 session is not out yet.
Till March the date was with 8500 Rs Late Fee. I am sure you got to know the answer, though I could see this pending question today as I did not follow the Kurukshetra University Tag.
http://www.ddekuk.ac.in/

Kurukshetra University does not offer this course but you can find out more from NDRI and ICAR KARNAL for Dairy Research and Agricultural degree respectively. For Research works ICAR is available along with NDRI. The Bachelor Degrees of NDRI are in high demand for career prospects now. ICAR - Admission information: http://www.icar.org.in/
http://www.icar.org.in/sites/default/files/ednnotice-2018.pdf.

Delhi University and Punjab University will be a better option.

You can check this on www.kuk.ac.in

First, you have to fill the form and then cut-off list will be out, you can check.

I don't think that would be possible.

Kurukshetra University has no online source of its entrance test and not only for B.Tech but there are no entrance test papers available. Though you can check other entrance test exams online as the questions are of similar type only .

You can check the eligibility criteria on www.kuk.ac.in this site

I shall not say that the answer already shared is completely false but I shall advise you not to take it for granted. KUK does have a good brand name in the National Rankings. But the fine arts department, in particular, is good. For BFA, they are reasonably good and you may get good opportunities.