I am working on redesigning my website and iterating through fivesecondtests. 

The overall feedback is improving but no matter what I change, several people have mentionned that my designs look "dated". "Not modern". "Use modern fonts". 


  What are "modern fonts"? 
  Technically, Calibri, Cambria, etc. are "modern fonts", but I hardly ever see those online. What fonts are considered "modern" in the context of web design?
  
  What are the characteristics of a "modern design"? Conversely what
  are the tell tale signs of a "dated" design?


For reference, here is the latest iteration of my design. Does it still look "dated"? If so, what elements give that impression?





I think I am starting to get a better idea of what "modern web design" is:


No or light gradients
Sans serif typefaces
Light drop shadows
Good page hierarchy / directing visitor's attention


Is there anything else that makes a design look "modern"? 

I have implemented the most of the recommendations in the answers, and I feel it has improved the design a lot. (Never mind the logo - will figure that one out later) 



Am I still stuck in the past? Or am I finally getting somewhere?



Implementing all recommendations, this is what I get:


It's obviously much better, but is it up to modern standards yet? If not, can it get there without changing massively the layout? 



The learning process never ends, does it? Assume that the central menu has a lava effect and that hopefully I can get a decent photo of myself shot to replace that one.



Looking at the various versions, I can see the design improving by leaps and bounds. Not sure how much further it needs to improve to reach professional standards, but it's certainly moving in the right direction.

Thanks a lot to all of you. I am impressed by the quality of the advice and how specific and actionable most recommendations have been so far.


Question: Can I delete my fork of a BitBucket repository, after the owner has accepted and merged my pull request?
Answer: I would say if things work as expected on GitHub, then they would work on BitBucket.  If the pull request was "accepted and merged", then nothing you do to your personal repository will modify the repository that has merged in your changes.