There are several issues concerning the use of penicillin with reptiles. One problem is the limited spectrum of activity, as penicillin will only be effective against a small number of bacterial species that cause illness in reptiles. Another critical point is that bacterial resistance to penicillin develops rapidly, and many species are now resistant to it. One nice thing however is that penicillin is quite non-toxic and has a large margin of safety.
Penicillin group antibiotics, including extended spectrum ampicillin and amoxicillin, have short half-lives in the body and must be given daily. Additionally, they require large doses as in 50 mg per kg body weight or more to be effective. The small dosage (2.5 mg) and the time frame between doses (72 hours) that you mentioned more closely resembles that for an aminoglycoside or other type of toxic antibiotic. As Ian said, there are other types of antibiotics available that would be much more effective than penicillin. These would be cephalosporin, macrolide, fluoroquinolone, and aminoglycoside group antibiotics.
Kelly