From what I've seen posted here and elsewhere, so long as you are getting the tire properly "patched" from the inside then there should be no issue with the tire. However, see
http://www.tirerack.com/tires/tiretech/general/punctures.htm which seems to imply that there is sufficient question about patched tires being suitable for track events (high speed driving). Now of course, they just happen to sell new tires...
On the tire inflation side, see an earlier thread on this at
http://www.986forum.com/forums/showthread.php?threadid=115