After reading your post, i tried finding more info. I found some info regarding bilirubin at http://www.emedicine.com/ped/topic2229.htm.
It says: "Evidence of hemolysis is usually present, with elevated indirect bilirubin level, high lactate dehydrogenase (LDH) level, and low level of haptoglobin."
Hallu,
You are right that bilirubin is formed due to the breakdown of RBCs. However, this bilirubin is then cleared out of the body by the liver, where bilirubin gets bound to albumin, and the liver makes it water soluble. Bulk of it is then excreted out through the intestines, while a small residual portion may be excreted out through the kidney.
As far as I have read, increased haemolysis only leads to a mild increase in bilirubin. A more moderate increase (like over 2.0 for total) is more probably due to hepatitis. Again, an increase in direct bilirubin is more indicative of hepatitis. (Although, I have never really managed to figure out the diff between direct and indirect!)
Sorry to have alarmed you, but better to know and get treatment for it, than to be in the dark. Since, you say your SGOT and SGPT levels are normal, your liver is likely okay. Better to just test for Hep B and C to eliminate these as causes for the elevated bilirubin.
Hope that is useful.
Poirot