take a look here
http://aos.org/aos/orchids/page01.aspx
and see if you find your plant. in general, cutting a flower spike after the flowers have fallen off and cause the plant to grow another spike sideways out of the old one, and it will bloom some more. this is gnerally a bit stressful for the plant though.
as for roots, orchids in general "like" to be pot bound; don't worry if the odd root is coming out the bottom. (i say "like" because frankly they'd rather be hanging off a tree somewhere in thailand or ecuador; we stick them in pots because it's easier for us. smaller pots are better; you don't want too much pottong medium in there staying too wet and rotting the roots.)