Could that 2nd one be Country Joe & the Fish? If memory serves, It went along these lines:

Come on all of you big strong men, Uncle Sam needs your help again
Got himself in a terrible jam, way down yonder in Vietnam
So put down your book and pick up a gun, Gonna have a whole lot of fun

(CH) And its 1,2,3 what are we fighting for
Don't ask me I don't give a damn, Next stop is Vietnam
And its 5,6,7 open up the pearly gates
Ain't no time to wonder why, WHoopee were all gonna die

Come on Generals lets move fast, Your big chance is here at last
Now go out and get those reds for the only good commie is the one thats dead
(line here I can't remember)...and blow em all to kingdom come(?)

Come on Fathers don't be slow, man this is war-agogo!
Come on mothers don't hesitate, send your boy off before it's too late
Be the first one on your blocks to have your son come home in a box!

Thats all I can remember