I've had a similar experience. My hematologist enthusiastically has me supplement vitamin D as well as B12 and folate because I am quite deficient otherwise, but this has no effect on my platelet count. However, my best count in the past five years came last December as I was recovering from a cold/flu; it hit 163, which was very exciting.
I sometimes say that my count goes up when my immune system is too busy doing something else do be bothered with platelets. I doubt it's that simple, and I haven't read anything in the research literature to suggest it is, but the correlation is hard to ignore.
Since tamiflu is an antiviral and augmenten is an antibiotic, whatever your son is experiencing may have more to do with what his immune system is up to than with the meds he's taking. Either way, I hope his count continues its upward (if erratic) trend.