Your first problem can easily be resolved by moving your files and directories to the new directory and changing the path and address information in your /inc/header.inc.php file. Your second problem is related to some issue with your setup, which could be permissions or otherwise. Your third problem is a feature which is actually a built-in feature, so there's no need to request a new module.
I recommend you ask these questions in the forums before potentially (which is what you've done if you see more took anyone's offers) wasting your money on things easily resolvable. I'd even been willing to move your site for free, since it's rather trivial.
I recommend you ask these questions in the forums before potentially (which is what you've done if you see more