Got a New GS4 - Old S4 Screen not working - How can I backup phone log and texts

[SlumberRina]

I know that there are several Apps out there that will let me backup one phone information and transfer it to another but they all require screen access. My old screen is broken but the phone itself is fine... just the LCD display isn't working. So while I can access the old phone from a computer I can't do anything on the phone via the screen. Is there any way to backup through a computer or manually the phone logs but more importantly the texts from my old phone and transfer them to my new phone?

Thanks.