Interior door handle/lock
I believe we can help. Could we have you provide the original hole spacing of the handle set? This will help us narrow down what replacement options to recommend.
In looking at your photos more, I was mistaken when I recommended the last parts to you. I believe the best solution for a replacement would be our 82-005 surface mount handle set. To install this set, you will need to redrill new holes.
Now, in regards to the keeper. Yours appears to be a face-mount style, not jamb-mount. That said, our 89-012 could work. Look it over and let us know what you think. This is fully compatible with the 82-005. Review both parts and let us know your thoughts.