CAN YOU TELL ME WHAT BRAND OF DOOR THIS IS?

I don't know who made your door, unfortunately. The hardware you're showing is generic and used on all kinds of different brands.

The good news is that knowing the manufacturer wouldn't really help you, anyway. Projects like this are better handled on a part-by-part basis rather than looking for a master list of all compatible parts for the door, which in my experience almost never exists. In your case, I recommend the 82-030 handle set and 82-218 mortise lock. Review each part, including their dimensions, and let me know if you had any questions.