Often replacement is cheaper than the labour for servicing, in particular in cheap quartz watches. This watch would warrant a service I would think, since a replacement movement may not be available outside of Rolex. I have no idea what movement is in this watch though.
I don't know how long ago you serviced it, or what was done, but in a simple quartz watch like this one (2 hands, no complications of any kind) the main reason for getting it serviced would be poor battery life. This can be checked by any properly equipped watchmaker, as I've shown in the thread that was linked above. The specific electrical parameters of the watch can be checked to ensure the movement is functioning correctly, and if needed a service can be done.
One thing you should make sure of is that if the watch stops, that you get it in to be looked at rather quickly, because if the battery leaks it can damage the movement.
Cheers, Al
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