Handle broke and door does not slide properly.
Thanks for posting! We've found that damage to a patio door handle, like this, is generally caused by placing excessive force on the handle set. Since the door is difficult to close, you may likely need to replace the rollers in the door and possibly the track.
At the very least, you may need to clean any dirt and debris that might be stuck in them. Keep in mind, not addressing this could result in the replacement handle breaking again.
I've included video tutorials with instructions on how to remove/install both the rollers and the tracks.
That being said, your patio door handle set can be replaced with the 82-089 Legacy Handle Set (the keyed version is the 82-086). Carefully look over the dimensions below to confirm.