Does 30% hydrogen peroxide eat away at platinum?
Yes, as @Ivan said, hydrogen peroxide will not corrode platinum, instead hydrogen peroxide will get decomposed.

Catalytic decomposition of hydrogen peroxide by metals and alloys of the platinum group:


  The catalytic decomposition of dilute aqueous solutions of hydrogen
  peroxide has been studied on a number of Group VIII metals and binary
  alloys, including palladium-gold. The kinetics were measured at 27 °
  as a function of catalyst composition and pH of the solution. In
  neutral solution, the activity of the individual metals of Group VIII
  was generally greater than those of Group VIII2, the order of specific
  activity (per unit surface area) decreasing in the sequence $\ce{Pt &gt; Os &gt;
 Ir &gt; Pd &gt; Ru &gt; Rh}$. (...)


Other references:


http://ac.els-cdn.com/S0926337306001561/1-s2.0-S0926337306001561-main.pdf?_tid=a114888e-1c29-11e7-9622-00000aacb360&amp;acdnat=1491635258_a3e20984dda9eaaf07e78f4814383b96
http://pubs.acs.org/doi/abs/10.1021/ed080p788
http://jcsp.org.pk/ArticleUpload/2541-11513-1-CE.pdf