Will the database have its own page much like what Notion has?

Does SiYuan support formula entries in the database? Something like Notion Formulas:

Formulas 2.0: How to use Notion’s new and improved formulas with your existing setups

BTW, I love the app!

Actually, multi-view functionality is already supported now. You can simply create a new view on the duplicated database.

But if I just copy->paste it, then filters of one Database applies to all other copies of that Database..So there is no possibility like in Notion to have different views of the same Database in different pages (without affecting each other)?

You can create a page for a database entry manually. In the primary key, click more > new page, it will auto populate the page name based on the entry.