I created this thread today but it was never accepted.
Seeing the whole Pushbullet fiasco.. I was reminded of this wonderful app.
I used to use it back in the old Sony Ericsson propriety OS days, and even with my original Galaxy S and S2 etc. Stopped using it after that but it still works perfectly. It's completely free, supports almost all Android phones. Contact sync, file transfer, sms, calls etc.. All features supported. Just wanted to see what r/Android thinks about this app.
https://play.google.com/store/apps/details?id=com.webkey&hl=en or http://www.fjsoft.at/en/downloads.php may help you.
Also here's a tutorial on how to set up ADB http://theunlockr.com/2009/10/06/how-to-set-up-adb-usb-drivers-for-android-devices/