most likely this is not a hang - installer is waiting for database initialization, which runs in separate console window. If initialization fails, that window shows the error and "PRESS ANY KEY TO CONTINUE", and it can end up behind the installer window. With SQLite it usually fails either because folder in "Path to database file" does not exist (file is created automatically, folder is not), or because database file is already there from previous attempt.

Log switch does not change anything here. On second run installer finds existing installation and "Initialize database" is not checked by default, so this step is just skipped - which also means database may still be not initialized. Is NetXMS Core service running and can you log in?

If not, please share what you entered as path to database file and last lines of C:\NetXMS\log\netxmsd.log.