Title Questions

Hello,

First, I want to thank you for an excellent theme that is speeding up me putting together a site I have wanted to do for awhile. I just had a two questions both about the titles on the posts and pages.

When it comes to the posts title is it possible to remove the Home/(Name of Post) from there?

When creating a page for a category is it possible to instead of having the Page Name in the title, having an image there instead?

Thank you.
Adam