It looks to me that RS1 is a 0
R47 (0.47) ohm resistor, and is used to set the current through the strobe LEDs. Confirm with the data sheets and your calipers to see if a 2512 size resistor will fit in the space given, otherwise there are smaller sizes.
Ideally you'd use SMD tools to repair this but it can also be done with regular hand soldering tools if it is on a conventional fiberglass PCB.
A cell phone repair guy will be able to do this in under two minutes.
Good luck!
And if the luck runs out I know someone who can set you up with some new lights...
