XXIII - I think you need to put a little sign on your computer that says:
"know when to foldem" - and DO it!
In the first hand posted, you knew what he could have had - and you were right. Go with it.
The K/3 hand was suicide. You HAD to know he had the K and higher kicker and/or two pair possibly. You had na-da but a little kicker King. I'd think twice about even playing a K/3 or K/anything other than a J or better at this stage of the tourney. JMO
By folding, you live to see another hand and possibly get to the 50. If you have a nice chip stack, let the others play and go out. Sit back and watch. I've played many a WSOP
freeroll on Paradise and noticed each time the large stacks do not play many hands if any until its very close to 50 - like 55 or so. As many of the freerolls
that I played, I got into one Top 50 with 90,000+ chips while top stacks were like 135,000. Just wait for the small stack to leave and if you need to fold AA - do it to see another day.