Chrysler Neon 2001 issues

Hi everyone, I hope I post it at the right place. I couldn't find any topic about this specific car model, if so please put the post at the right area. Anyways I have a Chrysler Neon 2001 and due to the recent cold weather in Montreal i had issues starting it. The battery seems to be functioning properly but when i try to start it, there wont be any sound what so ever, also i found a broken plastic pipe which im not sure what its there for ( ill attach a photo of it). was wondering if theres someone kind enough to suggest any solution it would be greatly appreciated, as im really desperate to get this car up and running. Thanks.

Link to picture: http://s802.photobucket.com/user/ICdevil/media/DSC_0141.JPG.html

Bump?!