I think the most you can run is Sierra/High Sierra
To check the model number hold down the option/alt key, go to the Apple menu and select System Information.
macOS 10.12/10.13 (Sierra/High Sierra) requires one of the following Macs:
MacBook Pro (Mid 2010 or later) Model 6.2 and higher
Mojave requires the following.
MacBook Pro introduced in mid 2012 or later
How to upgrade to macOS Mojave - Apple Support
How to get macOS High Sierra
Sierra download
Check to make sure your applications are compatible.
Application Compatibility
macOS Sierra 10.12: Compatible Apps
Also check to make sure there is a compatible driver for your printer.
Do a backup before installing, preferable 2 backups on 2 different drives.