Comments on Original Design
My thoughts are the following:
Just to note, I really like the style of your icons. The images I have linked you to aren't nice looking icons in themselves, but they convey a better concept/form to go inside your own pretty circular designs.
I also think that categories should be moved below the activities section, as I think it has a lower priority.
Hope this is helpful for you.
Comments on 1st Ammendment
I wonder if you should also add labels for each section? In a lighter colour, and a smaller font above the content to the right of the icon.
For example I think distance needs a context of where it is calculating from. I guess it uses the 3g/wifi to estimate the user's location, and then creates the distance? So your label above the content could say 'Distance calculated from Oxford, UK'. Because there may be times when the location of the user is slightly out and it's good for a user to know the variable of this calculation.
Comments on 'Action Bar' icons
Categories: I think you should carry the categories icon through from the 'Place Information' page, maybe it would be good to reflect this along the vertical axis so that it is is in the same direction as the Search icon.....Though I do like your icon on the menu bar, maybe you should use this one on the 'place information' page.