If you want to backup iphone SMS and contact to computer/Mac, you need to use the third software,because iTunes only support transfer Multimedia files,you need use the third manage your SMS and contact on computer/Mac

Do you have some trouble to deal with a lot of important SMS messages&Contacts when you SMS box is full?
Do you want to protect your messages&Contacts with a password to keep your privacy ?
Do you need to backup your sms&Contacts from your iphone to pc ?

lots of iPhone users have the same trouble. that is they can't backup the SMS to anywhere when the SMS box is full, then they have to delete all of them to prevent iPhone rejecting new SMS receiving. so here i introduce a useful tool, hope that it can help you
Tansee iPhone Transfer Contact

With Tansee iPhone Transfer Contact, you can transfer the iPhone contact to computer as a txt file or ANTS file. Before the transfer, you can choose to transfer from a single contact or all contacts, You can choose transfer the contact to a TXT file or a ANTS file on PC. What’s more, you can protect the file with a password to keep your privacy.

For more information: http://www.mustsoftware.com/Tansee-iPhone-Transfer-Contact-guide.html

Transfer iphone songs/videos/contacts/SMS/books to Mac or new iphone

iMacsoft iPhone to Mac Transfer--Backup iphone SMS,Contact,photo,Call list,video,music,ePub, pdf, Audiobook, Ringtone, Voice Memos, Camera Roll (iOS 4 above), Podcast, TV Show,movies to Mac,or transfer all files from Mac to iphone,this is a useful iphone manager for Mac.

http://www.mustsoftware.com/iMacsoft-iPhone-to-Mac-Transfer-guide.html

Transfer iphone songs/videos/contacts/SMS/books to computer or new iphone

Cucusoft iPhone Tool Kits--Backup iphone  SMS,Contact,photo,Call list,video,music,,movies to computer,or transfer  all files from computer to iphone,this is a useful iphone manager.

More information: http://www.mustsoftware.com/Cucusoft-iPhone-Tool-Kits-guide.html