Minus,
The price of the repair is going to depend on you…what I mean is, the part you are showing to be broken can probably be replaced with a non-Rolex part, as there is a plethora of Rolex knockoff parts to be found.
Personally, with that part being located in a non- visible location while the watch is actually being worn this would be an option I would consider if it kept the watch within my price range.
Either way I would still have a reputable person check the internals of the watch to ensure you are actually getting a Rolex movement.
Furthermore, you should probably keep in mind that a Rolex is nothing more a status symbol, as the cheapest quartz Timex will keep more accurate time than any automatic.
Don’t take offense to last statement as it is coming from an automatic watch owner, but it is a Tissot rather than a Rolex. I just like the idea of wearing something that represents mechanical precision and craftsmanship… a throwback to a simpler day and age if you will.