Need to Upgrade SEPM from 12.1.2015 to 12.1.3 and win from 2003 to 2008?

Hello,

I have SEPM 12.1.2 at windows server 2003 and need to install the latest version of SEPM 12.1.3 at windows server 2008, so i will backup the database of the current SEPM and after clean installation of windows 2008 and install new SEPM, I will restore the DB to the new version.

Is these steps are right or not?

Thanks