Header image on homepage only

Hi, I am requiring to solve the 3 issues below which I have searched for and tried various things already with no success…My theme is Aeon Blog

1) I would like my header image to only show on the home page and not any other pages
2) I would like the widgets panel to only show on the home page and not any other page
3) I have a pale blue title bar on all pages except the home page – I would like to change this to the same grey as rest of page ideally

Many thanks in advance!
Fuseflo

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