Help with different tasks and solving problems

[Velbees12]

I beg you to help with these issues:

1. Is there a login module, user registration and personal account with a minimal set of features?
2. Is it possible to ask for a different website template, depending on the category id when viewing entries in the category and is similar to the full blog article page
3. How to display the search box on articles on the main page of the site with a choice on what category to look for?
4. Is it possible to make the creation of articles on a single page of the site? (Without admin center)
5. Is it possible to add new fields to create in the admin center, depending on the category? Different fields in each category adding articles

Thanks in advance, I thank you very much for your help! Prosperity to you!