And still; the reaction with 2H+ +2e- --> H2 will theoretically be able to oxidize Fe to Fe3+ (from standard reduction potential).
Nope. As far as I am aware H
+ (not sulfuric acid, just H
+) is capable of oxidizing solid Fe to Fe
2+ but not further.
Why?
Yes, concentrated sulfuric acid is an oxidizer and in some specific cases can get reduced to SO
32-. Not in the presence of excess water though, and 3M solution is quite diluted.