Broken screen

So my screen is cracked and giving me green, red and purple lines all over and i cant use the touch screen on my galaxy s3, I have been trying to get all my photos and movies off of it, and i cant connect, is there anyway to connect to airdriod without using my screen?
I cant connect to my computer normally because it comes up as a Portable media player, and to change that i have to do so on my phone

- It was run over by a Uhaul truck

Does anyone have any idea? What i should do? Or how to connect VIA remote access?

Actually mine comes up in Windows Explorer as a "Portable Media Player", but if I double-click it I get two drives, "Card" and "Phone"... if yours is hanging there perhaps there's more broken than just the screen?

@Jamux
Have you signed in to AirDroid on your device? If yes, then you can sign in to web.airdroid.com with the same account and get your photos and movies.