I need a locking door with a key for sliding glass door

Thanks for reaching out to us! I believe you may be able to cover your handle set to a keyed lock using the 82-310 Key Lock. Although, you'll need to look over the dimensions and design of the cylinder to confirm that it will be compatible with your existing handle set. There is a video tutorial tagged below with instructions on how to install this lock.

Alternate view of 82-310

Another replacement option is the 82-030A Centered Keyed Handle Set; however, that will depend on the position of the latch on the inside of the handle. While the thumb lever on your existing handle is positioned at the top of the mounting plate, there is possibly a bracket that allows the handle to interact with the mortise lock at the center of the handle.

That said, you'll need to remove the handle to confirm this. Also, be sure to confirm the measurement for the distance between the installation holes.

Dimensions for 82-030A