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Since the data was not provided in the original question I extracted it from the image shown following the (great) explanations here: Recovering data points from an image.

Since the data was not provided in the original question I extracted it from the image shown following the (great) explanations here: Recovering data points from an image.

I am not sure how useful my answer is, but I hope it will bring some points to be clarified in the question. (Also I spent some time on this so I wanna proclaim some to the results of my efforts...)

I am not sure how useful my answer is, but I hope it will bring some points to be clarified in the question. (Also I spent some time on this so I wanna proclaim some of the results of my efforts...)

Next using the generated functions we add to them their antisymmetric versions and {1,x,-x}. The resulted list is given to Fit:

Note that I have chosen the peaks locations and the scale factor for x according to the peaks and spread in the experimental data.

Next using the generated functions we add to them their antisymmetric versions and {1,x,-x}. The resulted list is given to Fit: