The movement being COA yes.
They probably do have whatever parts they might need but it also might likely not require any really.
They will do the best they can with what you have on the movement at a price.
As LONG as you are not missing any parts.
That date disc is not the same type and really it doesn't wear or cause the same types of issues...it's a solid piece same as 6694 etc.
They won't require a case polish ever.
The hands...on a vintage watch especially this old I don't think they would require that. If the new dial is going to have lume material...they might likely
lume your hands so that they would match.
They won't replace the bubbleback crown with modern either. They didn't on my 3133. They may however tell you that the watch is NOT waterproof and cannot be made waterproof and that there is no
warranty against water resistance. They may not.
Those crowns exist...they likely have one. And the later versions had rubber gaskets.
Mine had the issue at the bezel to case. I corrected it years later. Michael made a special tool to remove the fixed screw on bezel and removed it for re lapping. I was able to put a thin silicone gasket underneath
and lock tite the threads on reinstalling it.
It's waterproof now.
The price...they can set whatever they want.
The most unfortunate situation is when you are missing parts. That is insurmountable.