Can I install the software on two computers and run one tournament? (I will run just one tourney but will not always have accces to my desktop so I want to install on my laptop as well.)
What is the easiset way to keep both computers in sync?
Yes, you may install OfficePool on multiple computers and use one serial number.
OfficePool does not have any built-in syncing mechanisms but storing your file on the cloud (i.e., MobileMe, Dropbox, etc.) where all your computers have access would be a good way to keep it in sync.