I always thought chins were suppinated (and usually closer grip) and pull ups were pronated. I guess just because I imagine your chin going up and over the bar in a suppinated grip, but not in pronated.
Pretty much all the articles I've read state this too, also some people just call both exercises chins or pull ups
In regards to only being able to do 2 pull ups, you could try the 'grease the groove' thing where you do an easy amount of reps through out the day( in this case 1 pull up). Only works if you have easy access to a bar though.
http://www.beastskills.com/OneArmPull.htm
^^ interesting challenge when you thing pull ups/ chin ups are too easy
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