Help with building site – Several questions

Hello,

I’m in the process of setting up my site but there are some things that seem to be glitched, and some things I don’t know how to change.. I assume I need some code??

This is the site so far: [ redundant link removed ]
The theme used is ‘Oblique’.

? The menu is blank on the home page, but works on other pages.
? Can I shrink the header image to be half the height on every page but the home page? Or make the header image disappear and just have the menu bar?
? Can I turn off displaying the title/date of a post?
? Can the white border around a post not be so thick?
? Can I make the background a parallax image, so that all pages match the home page’s background?

Thanks!

The page I need help with: [log in to see the link]