can you get both Gunblade and Bork?
title
title
also
stacks with 
Yes. You can get both.
will heal out of
.
will also heal of Botrk
Yes
You can.
Yes. Only items with the name Hextech in them share CDs. (Protobelt, Ice Gun, Gunblade, Revolver)
Absolutely.
It's kind of legit on Teemo

Key word being "kind of".
The actives share a cooldown but everything else is unique.
You can fire both
&
but not
with either of them
I haven't actually looked into it since they changed Hextech Revolver.
It may have changed since.