I haven't had a professional bike fitting done, but I have used the Competitive Cyclist Fit Calculator to find a starting point for buying and/or setting up bikes.

How long have you been riding? I started back up again a few months ago after not riding in years, and it takes my body/back a few weeks to get used to a different bike or new set of adjustments. If you just started, maybe you just need to give it some more time before you decide to make adjustments.

The first thing I noticed in the pic you posted is that your saddle looks like it's tilted forward. If so, you might try leveling it or even tilting the nose up slightly. If you feel like your sliding forward, it might be causing you to try and compensate by pushing back on the bars, placing more pressure on your hands/wrists and increasing the strain on your back.