Posting photo's of family is somewhat difficult to get a reply on. For me, i just see a photo of a kid. It's not my kid, i don't know anything about her so it doesn't do anything for me. I don't get the same feelings as you have when looking at it.
So if i would say it is a very good photo, you would totally agree with me, even if it is not. If i say it is a crappy photo, then there is the chance that we wouldn't agree, and you might feel offended. It's very hard to let go the emotional connection and look at it from a strangers point of view.
The second photo is nice, just a good shot of something going on, somewhat romantic.
As for the camera, you only learn photography by doing it. photo's don't increase spectacular subjectwise due to a bigger camera.
Why a Dslr? Do you/she need the focusspeed (depends on the lens), higher noise-free iso's or depth of field (depends on the lens), the use of an external flash?
To my opinion the best advise i can give is to take photoshoplessons after buying a Dslr. You will get the most out of your Dslr by good post-processing and shooting Raw. Setting your Dslr on Jpeg and no post-processing afterwards is pretty much useless, and will make you blame the camera...
Photographyclasses are to my experience just an expensive way of learning the manual of your camera. I've learned the most by reading photography-based forums, examine photo's that i like carefully, posting photo's on photography-forums and learn from the comments. (Flickr is nice to dump photo's, but getting funded comments looks almost impossible. Too much:'excellent shot, here's a heartshaped award.gif')
Google everything about how to use a histogram, why you should overexpose with very bright subjects (snow for example), or underexpose with dark objects/subjects/scenes (a black van or so).
When shooting raw and use the histogram wisely, then the only things you have to worry about when shooting are shutterspeed, aperture & iso. (and maybe whitebalance, but that can be easily fixed when shooting raw in postprocessing)
hopefully i was of any help