For the kidney, you can detect Kim1 by western blotting and IHC very easily upon Acute injury. Also NGal (lipocalin 2) is another good and sensitive marker for renal injury that can be detected by either method. Antibodes for both are commercially available.

We usually detect liver injury by serum ALT levels (> 1000 IU / L). For qPCR or WB, you may be able to evaluate changes in the CYP 450 family.