Site moving problem: From Mysql 5.0.51a to 5.0.37

Hi everybody,

I'm new to drupal administration. I had configured drupal 6 on an internal test machine. Mysql version is 5.0.37 and it works fine for almost 6 months. Now I want to move the entire site to a server, with mysql version 5.0.51a. I have backed up the site files, and the database using mysqldump (/opt/lampp/bin/mysqldump -p --user=$dbuser --host=$dbhost --add-drop-table --socket=/opt/lampp/var/mysql/mysql.sock $dbname > dbcontent.sql) and important it to the new machine (echo "use $dbname; source dbcontent.sql;" | mysql --password --user=$dbuser --host=$dbhost). After that (in new machine), The main pages comes fine, but when I click on any other links, it says "page can not be found". What would be the issue, how can I fix it, is there any mysqldump compatibility mode? please help me!

PS: Please note, in old server Mysql database is 5.0.51a (higer version) and in the new server it is 5.0.37 (older). I can not change the mysql version @ server!

Best Regards,
-Vivek
Bangalore