You have found enthalpy form the corresponding peak areas but at first you have to run a reference sample. Then compare these two results, you have found your desire results.
You can calculate from the instrumental software easily be selecting the limit of the curve you intend to measure the enthalpy, For example, you would like to calculate the enthalpy for the crystallization then select the limit and the software will calculate the enthalpy.
Enthalpy of a phase transformation is delat(H) = C*delta(Q) where delta(Q) and ration constant is area under the DSC peak and C is calibration constant . For evaluating the enthalpy of transformation of an unknown sample you need to first get C by using an standard specimen like In, Al, Fe, Au, Ag. You should select the standard sample according to your sample transformation temperature (e.g. if in your case transformation is occurring at 600oC then consider Al since its melting occur at 660oC). Enthalpy of melting of standard specimens are known and by knowing the area under the peak of melting you can get calibration constant. You should runt he DSC experiment for standard specimen under the similar condition of what you did for unknown one.
Heat flow is the parameter which is usually recorded in DSC. From thermodynamic we also know that for a constant pressure process the heat transfer is equal to the enthalpy change. Therefore, first derivative of enthalpy respect to time gives you the recorded heat flow.