For #1, see the feature request Use H1 or front-matter title instead of or in addition to filename as display name.
For #2, not at the moment, though you could certainly manually add this kind of information. Obsidian recognizes and renders out YAML metadata frontmatter. So, if you start a note with
---
last-updated: 20201106
---
and use the Show frontmatter setting (Preferences → Editor), you can provide this data.
However, YAML frontmatter obviously conflicts with your need to have the first line be the same as the title!
edit: forgot to end the code block