My iphone touchscreen doesn't work so how do I transfer contacts?

I iphone 4s screen cracked so now I can no longer unlock it but I really need some of my contacts. I tried connecting it to itunes them transferring them to my computer but when I did that the contacts I were looking for weren't there only some of them transfered. What do I do? If I take it to the verizon store could they get All my contacts? Should I just fix the screen then get them?

Get something other than an iphone.

You may try the iStonsoft iPhone Backup software.

Free for Mac user: http://addpod.com/juicephone
Free for Windows: http://www.winavi.com/iphone-data-recovery/index.htm