Hi prosperus, and welcome to AF
I don't know what a "My Tablet" icon would be - I assume that this would be an app added by the manufacturer. But what I'd suggest is installing a file explorer app such as ES File Explorer, which will let you browse your SD card. Or my favourite gallery app, QuickPic, which will scan your card and allow you to browse pictures directly. Both can be found in the Google Play Store (previously Android Market).