I'm not a big fan of suicide Sternguard, with you taking Pedro, it looks like you want them to hold objectives? if you are throwing them away then don't take Pedro because he'll probably be your warlord and you don't want to just hand him over to your opponent.
Maybe some tactical squads in rhino's to move up and support your Sternguard? or infiltrating scouts?
are you taking combi-weapons? meltas for anti-tank, flamers for hordes and plasmas for
TEQ and such, or even replacing their bolter for a heavy weapon like the Heavy flamer or plasmacannon. I never like getting rid of a bolter on Sterguard, but it's an idea
I'd say fast things to move up and support your pod squads or long range guns that can hit your opponent from your deployment zone.
just an idea