Regarding packing: Try not actually packing the pipe, but merely filling it.
There is no prize for getting as much tobacco in the bowl as possible anyway.
If you do the 3 pinch method, try for a while just to do the first step: stuff
it like a babe, then light it, tamp it ever so lightly (the burnt tobacco may
compress quite a bit), then relight. You'll get a pleasant, cool, delicious smoke that
will burn all the way to the bottom.
As for rescuing an over-tight bowl, if you smoke without filter/stinger try as
stickframer said, to poke a pipe-cleaner through the stem, or alternatively if
you're still in the beginning of your smoke and your pipe isn't warm yet (say
just after you attempted and failed to light it), remove the stem and poke your
Czech tool through to the bowl. Most often the trouble with an overly tight
bowl is not that the bowl is in fact overly tight, but that the draw hole has
become plugged, and that drawing on it only pulls the plug tighter.
Best of luck with your puffing, music4cash!
/Puff