Thanks for sharing! I had a look at your photos and find the street picture with the bubbles excellent! Your photos with the 56 need to be much tighter for my personal taste and the hands/feet etc possibly more important that a palm tree.
This one here has a lot of dead space above the head but the arms are chopped off. Pleasing bokeh in the background, but I thought that your daughter was the most important here.
This one I found difficult to get the feet of that statue on the right out of the picture, maybe better to go closer and frame her much, much tighter.
These 2 could have stood much closer together and the background could have been much less busy -or for that matter, if you get much closer you could have "blurred out" the background.
Why not try to get REAL close?? Your daughter is special to you clearly and the Fujis not particularely frightening, quite friendly little cameras, and maybe take some series where you set the focus point on the closest eye (from the camera) because focussing gets a bit more critical when you get closer ...
I use the 56 a lot in the studio theses days and find it is capable of incredibly detailed images without being overly sharp ...
Here is one I took a couple of days ago, so you can see what your camera is capable of when you get real close. Not trying to be an ar** here just trying to show you what the lens can do regarding resolution etc. In terms of "catching the moment" I find your street-bubble-shot much better than the portrait, so please just look at it from the technical point ok? Others will possibly have other ideas regarding the lens, but for yourself I would suggest that a new lens is like riding a motorbike, it needs some time and practise to get used to it, regardless of how much experience you have.
When uploading images via dpreview the images always seem to lose detail, so on my screen the image is actually quite a bit sharper than on the dpreview page ...
Cheers
Deed