Service on a Tudor Big Block in NYC?

[cgrey2]

I have a circa 1990 Tudor Big Block. It was keeping good time; however, the chronograph hand wasn't resetting to zero and eventually came off. I brought the watch to the Tudor boutique in NYC, initially not realizing that it would be sent to Tourneau for service. I've received an estimate: complete service plus replacement of crown, crystal, movement parts, tube and gaskets - all for a hair under $1000. As the crystal and Rolex crown are original, I'd like them not to be replaced, unless they are replaced with identical parts. They also marked case refinishing as necessary. It hasn't been polished yet, and while scratched, I don't mind how it looks and the edges of the case are crisp. I haven't approved the repair yet. Should I decline and take the watch to the Rolex service center instead? I will of course follow up with these questions to both Rolex and Tourneau service. Before I make a decision, is there anything else I should be aware of?