I have visited a few entrecard user's sites and could not find their drop button. A few sites I looked extra hard and swear they did not have the button. Is there a button where I can report the site? I can understand a brand new blog not having the button on there, but when an older blog doesn't have it, there's really no excuse.

Yes - go to the site's profile and click "Report site for TOS violation".

With that, I wanted to suggest an option for us to go straight to the profile instead of the site, especially when looking in our inbox.

For example, you find a site that has no widget, but received a drop and you want to mention something, or send a message, but you have to go the long route of find the user id, etc, instead of being able to do it directly.