2-7 starting hand... dump the 6 or draw 1?
 

You decide to defend your BB against a cutoff raise with 3456x. Do you raise and draw 1 to the 3456? Or do you call and draw 2 to the 345? I don't like calling and drawing 1. What about 4567x?

I'm pretty sure that in both of these cases, I'm calling, dumping the 6, and drawing 2. What do you think?

On the button (or otherwise in position), it's a different situation entirely.

Re: 2-7 starting hand... dump the 6 or draw 1?
 

If you get caught with this hand, always take 2. It is not a different situation OTB. However, keep in mind that 3-4-5 is still a crappy hand.

Re: 2-7 starting hand... dump the 6 or draw 1?
 

With both 3456 and 4567, you should dump the 6, even with position (unless you are planning to snow/semisnow after the draw anyway.)