Vintage Overhaul/Service question - ref 1016

[stuedlem]

Hi all - first ever post here. I have a 1962 ref 1016 that has recently stopped working. I brought it in to the local authrised Rolex repair centre here. They want to do a complete overhaul (take eveything apart, reoil, replace gaskets), replace the mainspring, which they say is broken, and replace the dial and hands. I have already told them no way are they touching the dials or hands, but is there something else I should be worried about that might detract from the value or vintageness of the watch? Are new gaskets and a new main spring a problem? This is the frist time I have had it looked at in the five years I had it. Bought it from a reputable dealer in NYC. Thanks for the help!