Camera is not even a month old. When I push down on the button to take a picture, it will focus, but won't proceed to take the picture.

Hi,
I'm sorry to know that the camera is not capturing the images.I'll be glad to assist you in resolving the issue. Follow the steps below to troubleshoot this issue.
Make sure the inserted battery is fully-charged. Make sure the camera is powered on. If the inserted recording media has a write-protect or lock switch, set it to the OFF or UNLOCK position. Make sure the recording media is properly inserted in the camera. If using autofocus (AF), do the following: Press the shutter button down halfway. Pressing the shutter button down halfway allows the camera to focus automatically. A flashing green indicator will be visible in the LCD or viewfinder. When the indicator stops flashing, focusing is finished and the camera is ready to take the picture. The shutter cannnot release until the picture is in focus. Press the shutter button all the way down to take the picture.
Some cameras have a Priority setup option in the menu. If your camera has this option and if it is set to Release , you can force the shutter button to take a picture without autofocusing. However, if you change scene modes on the mode dial or turn off the power, the camera will default back to the previous auto focus mode. Thus, you need to select Release each time you change to a different scene mode or power the camera off and on. If attaching the camera body to an astronomical telescope or other similar device, (depending on your camera) it will be necessary to do one of the following: Set the mode dial to Manual (M). Set the Release w/o Lens option in the camera menu to Enable . Set the Shutter lock option in the camera menu to Off: no lens. The troubleshooting steps listed above should resolve your issue. If you have completed all of the steps and the issue is not resolved, service may be required. The Sony eService Web site at http://eservice.sony.com/ can assist you in obtaining service from a Sony Service Center or locating a Sony Authorized Servicer. Please let me know if you require any further assistance. Thanks for contacting FixYa