Hi yelloyella and welcome to the Q&A Board!
You have a very fine camera and, as you're discovering, it has a lot of bells and whistles so it will take some getting used to.
It's difficult to give specifics without seeing sample images and EXIF data but here are some suggestions based on the fact that you say your images are blurred.
First, make sure Vibration Reduction (Image Stabilization) is turned on. It is usually by default, but you may have inadvertently disabled it.
One of the first things I do when I get a camera is set the focus mode to single area focus. If your camera is set to continuous focus, multi-point or Face Recognition mode, switch it to single area focus and used these other modes only when appropriate. Single area mode gives you, not the camera, control over where focus takes place.
When you use single area focus, you may have to focus and recompose, as we explain here:
http://www.digicamhelp.com/taking-photos/basic-techniques/fe-lock/Also make sure you're using fast enough shutter speeds for the focal length. Please read this brief article for the suggested shutter speeds and information about the relation of shutter speed to focal length:
http://www.digicamhelp.com/taking-photos/advanced-techniques/shutter-speed-chart/As to your problems with the flash, again it's difficult to say without seeing sample images. But you may be using it outside the flash range, which changes according to the focal length used. If not and your camera has Flash Compensation, use it to increase or decrease the flash output. You may also have to use slow sync-flash for some photos....check your camera manual for details. Switching to single area focus may also help with this too.
Let us know if any of these suggestions help or if you have further questions.