Dual handle sliding glass door replacement

Looks like your door was designed to work with a flush type lockset like our 82-002 or 82-008. You won't be able to use any other kind of handle to replace these, unfortunately. You're pretty much stuck with this style.

Do you have the original lockset on hand? I think I can kind of see it in your first photo. If you can show it to me then I can figure out what your door uses. 

Yes, that's a huge help. So, the design of the lockset looks closer to 82-008, however your locking hook seems to be mounted lower than ours. With that in mind, I think our 82-002 is a better choice. Let me know what you think!