You don't have enough samples to confidently claim you have a multimodal distribution. If you simply try this with fitting exponential distributions to your data you'll see that they work reasonably OK:
PARHAT = expfit(abs(rr));
PARHATp = expfit(rr(rr>=0));
PARHATm = expfit(-rr(rr<=0));
x = linspace(-0.1,0.1,1001);
There are indications that there might be a multimodal distribution, but if you do fit for a multimodal distribution you will probably find that the parameter uncertainty will be very large. First you need to gather more observations (hopefully this will be possible without too large costs in time and resources).