Himachal Pradesh

Dear Friend,
Just go to the below link for the details -
http://www.Himachal.ac.in/news/20170608143846254.pdf
My suggestion is contact directly to the college admin for best information.
Best Wishes!

In all honesty, it depends on the pace of work done at your institute. There is a slight chance majority of your degree won't be completed at your own campus, but highly unlikely that you'll complete 4 years not being at your campus.
Again, it depends more at the pace of work and how fast the government gives out clearances to your institute. I have seen some work finished in a jiffy (I study at a government institute as well) and some which has been going on for years and is yet to finish.

Yes, you can take admission.

I am studying at Bahra University. I am a first-year student and I can say that it is the worst university. The faculty and infrastructure, nothing is up to the mark.

Yes, Bachelor in Science is available in HPU Shimla. You can apply for the same.
Good luck.

No, you can't do that. You have to pass your first year with proper result and minimum attendance requirements.