TEKKIE : Done it at last. I have LWPro up and running. Like a lot of things, when it happens it is always by accident, and then you wonder what it was that you did to get it to work. So; as it has just opened, (look at this post time) Here is what I did. I opened Documents and went into my 'Shared' file where Frostwire loads into. The next part is a shade delicate to explain, so lean a little closer as I don't want anyone to overhear. In Frostwire I was allowed to down load LWPro. I did so and I think that this is the program that has opened up. I found an entry which said something like 'macosx. ???. There was also an entry showing LWPro. I deleted the Mac file (I don't know where it came from) and selected Open on the LWPro. It then took me through the normal shortcut Icon sequence BUT when it came to the page warning about Firewalls there were the normal choice boxes available. (This loading sequence did not go through the 'Install' progress bar It seems that that part of the download had already installed with the program in the 'Shared' file) I selected 'next'. It offered to scan for other PtP stuff which I accepted and it opened like a lamb. I now have LWPro ready to roll. (Which, I would point out, I had previously paid for) Note: LWPro apologised for being unable to transfer any downloads in progress.
I think that maybe, just maybe, installing Frostwire successfully has some how blown a cleansing wind through the registry. This may sound fanciful, but for a practicing Atheist, after spending from Xmas eve till now on this cursed program, I am ready to believe anything at the moment.
I am flushed with success. After two and a half years of humiliation I have finally beaten my computer into the ground.
If this helps anyone else please let me know. DO NOT send me money. I live only for the glory.
Regards Bryan

tekkie: Additional Info: Using the abpve program I noticed that It was an earlier version (10). I had paid for the latest which is 14. I completely uninstalled all refs to the LWPro program I had downloaded from Frostwire as described above. I then downloaded a 'Locked' version of LWPro from Frostwire and ran it. It opened perfectly after first accepting my e'mail address as confirmation of purchase. It is now working perfectly and as I now have the program I purchased my problem is solved. If you enter Limewire in the search panel of Frostwire you will find lots of LWPro downloads that are not locked. You should now be able to solve your problem. Let me know how you get on. Regards Bryan. NB: I don't think there is as much rubbish on LWP as is in FW. I hope not anyway, as there is a lot of dross pretending to be great.