Wow. You are expecting a lot, lol. No, the imported items inbox isn't an email program. If you open it from there, you have all the options. If you reply or forward, it will show up in the sent items folder (at least in Outlook). It won't have an error on the email in your inbox to show you forwarded that particular email or not.
But, it's just nice to play with. My guess is most of the things you do with the email will be when it is in Outlook, etc. I don't see you working with it a lot from AC. But, you can. Same thing if you get a reply back, it will go to Outlook and not to AC. You would need something like UpDox to do that.