We purchased the door from Lowes about 5 years ago. I believe it is a Reliabuilt.
The lock is 2 point mortise 11". I don't have any names, numbers, or markings on the hardware. And cannot find any numbers on the sliding door.
Based on my research, your lock model 82-265 seems that it would be the best fit.
We measured the keeper and the distance between the two latch openings are about
5 1/4", so I believe the keeper we have will work. We can adjust as needed.
I also would like to replace the handle. The gold does not go with my interior decor. I would like a white replacement. I don't know which handle models you have available that fit with the 11" lock and has an exterior key. Can you send me some examples or list of model numbers to review?