I must confess to finding item 1 of your email quite confusing. I know you want to calculate a temperature rise somewhere for some reason, but am not sure where or why!

As far as the recirculation from the discharge of a pump is concerned, this is usually done to keep the pump running as close as possible to the Best Efficiency Point, and thus well away from any low flow condition that would cause a number of problems, the least of which would be a temperature increase of the product. The recirculation line should be taken from a point in the discharge side of the pump and led back to the suction source (i.e., not the piping) in such a way that it does not cause any turbulence in the suction system.