phpBB emails are sent as plain text so cannot include an image. You would need to change the format of the emails.
Both 1 and 2 would require extensions. Have a look in the
Extensions Database. If you can't find one that is suitable you could look in
[3.1.x] Extensions in Development, but note that extensions in development are not intended for a live board. If there is nothing there you could post in
[3.1.x] Extension Requests.