[ubuntu] Not sure where to post this. Need help retrieving data from broken phone.

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http://ubuntuforums.org – A few weeks ago I broke the screen on my Samsung Galaxy S4 and was unable to see anything. I got the phone replaced but I want to figure out if I can retrieve data from the old phone like my SMS data and import it to my new phone. I can view all of the contents of the harddrive so I'd like to know if there is a way I can access it from there and move it to my new phone's harddrive. I can not use the phone in any other way than to view the contents of the drive via USB. Any tips would be appreciated. Thanks. (Hardware)