You probably did delete the whole database and not just the table. In that case Zenphoto would have requested to re-run setup and urge you to re-upload the setup files.
Since you are new, a blank screen means a serious error. If you get that you need to look into your server error log if you wish us to help. Otherwise we guess.
Opening tickets is easy, just registser on the bugtracker and the rest is actually selfexplanatory.