If surgery is successful there is no need to add Avodart/Proscar. If the prostate is gone and there is no cancer, there is no need to lower DHT. If however, your risk was such that the surgeon might not have removed all the cancer, then Avodart/Proscar could be part of Hormone Therapy based treatment that specifically reduces the DHT, but not the gonadal produced testosterone. Some doctors will use Avodart/Proscar before surgery or radiation to shrink an enlarged prostate, but that doesn't appear to have been done in your case.
It looks like your PSA is undetectable post surgery, but rising based on your signaturee. Generally the threshold after surgery is .20 PSA. If your rise stops at or below that number generally you wouldn't need more treatment. If it rises above that level, your doctors would determine the next courses of treatment wich could be salvage radiation and/or Hormone Therapy, which could include Avodart/Proscar. As to introducing Avodart/Proscar at this point, I wouldn't think there would be harm as it usually has mild side effects. It is just a matter of whether you would need it. I have been on Avodart in the form of Jalyn for 3&1/2 years as part of my hormone therapy. My Eligard/Lupron stopped this year, but I will remain on Jalyn indefinately as a maintenance treatment due to my high risk situation.
Here is hoping you are cured.