Hi test99,
I'm happy to do what I can to help out. Unfortunately, I'm not an expert with this particular ActiveX control. The documentation you found looks like it is far better than what I could dig up on Google. The key to using ActiveX in LabVIEW is the hierarchy that is shown in those word documents. For your particular example you can follow it all the way down the tree:
Application >> Documents >> Document >> Variables >> Counters >> Counter.
Each of these steps is represented by a refnum wire on the LabVIEW block diagram. In some cases, objects are just members of parent objects. In other cases, you have to actually create an object using an invoke node. (I know these probably are the technical terms that MS uses, but hopefully you understand what I mean).
I have attached a modified version of the code we were working with. It shows the different property and invoke nodes and how they relate to the hiearchy mentioned above. The only piece I cannot figure out is the Counters.Item method -- it has a "Key" input, but I don't know what this is or what it represents. I'm happy to help you with the LabVIEW side of this, but you'll need someone with Codesoft expertise to explain the intricacies of the ActiveX objects. Someone from their technical support group actually proactively contacted me yesterday after I downloaded the trial. It might be worth your while to give them a call. They seemed more than willing to help answer questions.
I hope this helps!