I understand that it is difficult to determine which forum to post in since there are so many. This particular forum (sharing and storage) was created to help those transitioning from Photoshop.com to Adobe Revel. I am moving your post to the correct forum so that it can get proper attention.
I'll put this posting in the installation community so the experts there can help you.
We also have many other forums relating to other Adobe products
You can qualify for an upgrade if your current versions are CS5 or newer. You do not need to have them installed on your new machine, but you need the serial numbers as proof of eligibility for the upgrade.
If you have older versions than CS5 chances are they are not eligible for upgrade and you would need to purchase the full versions. Some software do have allowances for older versions to upgrade though, so you should check each individual product if you acquired each separately.