Very odd request from Cust. Serv. regarding activation of old CS 5.5

I am moving/have moved my old CS 5.5 from my old PC to a new one.  I had no problem installing and  updating the software, but when it came to deactivating the license on the old computer and activating it on the new computer, nothing worked.  Not terribly surprising, this process is no longer automated for something so old, sooo after much poking around on the web I found a link to customer service on-line chat. 

The conversation started out quite well with "Ravi".   He understood the problem, and said that he had sucessfully deactivated the software on the old computer, but we couldn't get me successfully connected on the new computer.  Attempts to log-in and activate failed with an error message about not being able to start my Adobe CS Live subscription. Try  again later.  Ravi also had me use the Adobe Limited Access Repair Tool.

So, he gave me the link to download the legacy softare (I had been working from my orignal files) and sked me to uninstall and reiinstall from the newly downloaded package.

By the time I had down that Ravi was gone and the chat continued with someone name "Ashima" who claimed that she had access to the long conversation up to that point.  I told her that I had done as asked but that nothing had changed.  She then asked for for all of the information  she should have already had from the conversation up to that point, which left me thinking that she either didn't have access to the old conversation or could not be bothered to read it.  Eventually she was gone for a long time, and when she came back shet told me that I needed to ask for help here first and that if the community couldn't help methen I should come back to customer service.  I obviouslywas not happy about this,  since I had already spent over an hour talking to them about it.  When she (I assume based on the name) insisted,I asked her which forum I should post my question in, she told me to use the Design Premium Forum, which does not appear to exist.  All of this leaves me feeling that she didn't have a clue.

At this point, I don't know if the softare is still activated on the old computer, or how to activate it on  the  new computer, of if I even  need to activate it since it is so old.  I am getting no warnings or error messages on either computer and they both let me check for updates without complaints.  Does anyone have any suggestions about what to do?  I'm even willing to pay for customer support.

I should mention that I don't want to spend the money on upgrading since the software (Acrobat, Photoshop, InDesign and illustrator are what I use regularly) all provide me with the functionality I need.