Opening Question

Can someone explain to me why I should or shouldn't play the Boden-Kieseritzky Gambit(Kt-c3?) here instead of Q-e2?

This position is very complex. Pesonally I think white has a few possibilities.

a) Qe2   b) Bxf7+  c) Nc3 as you suggested  d) d3 

Each of these wants some looking at perhaps the most interesting is :

1) Bxf7+ Kxf7 2) Nxe5+   now black has to decide on Ke8 or Ke6 maybe Kg8

1) Ke8 Qh5+ 2) g3 Nxg3 Nf6 3) Qh4 not easy to decide

Kg8 this looks best and maybe a refutation of Bxf7

The difficulty I find with most chess positions is that analysis leads to even more problems. No position is easy or cut and dried.

Blitz? Go for it.  Learn the positions and kick butt!!

Real Chess? Not on your life. 

But I must say...

You should study tactics until you see them in your sleep, while giving a little glance here and there at openings...