Have to agree that some of the photos were not flattering or had some problems with it. Seems like there is a lack of focus in some shoots and the metering wasn't there (eg H02). Too dull and in the face flash(eg H03). Also the background seems busy and distracting(eg, H02 had a lamp at her head). Some had legs crop off or addition of stuff that does not add to the photo (eg H01 crop off toe).
Actually I have come from compact (Sony W1) to bridge camera (Panasonic FZ 30, Sony H1) to DSLR (Nikon D40, Panasonic L1). So I sort of understand what the limitations are. For your camera, it is really hard to get the DOF that DSLR can achieve easily (Need to zoom all the way and stand miles away or have a big head shot with the lens zoom right into the face). But it doesn't means that we cannot get sharp and nice pictures when the conditions are right. Just have to accept the limitation and work around it, though sometimes cannot means cannot.
Anyway, for your photo. these are what I though could be wrong (personnel opinion, may not be right)
For H01 - The toes is crop off and it seems like the focus is at the center and not on her face. Also the background seems boring, maybe can crop it to half body shot.
For H02 - The face looks underexposed. System maybe tricked by the bright background at her back. Change to center or spot metering to get the correct brightness. Again focus seems center on her waist.
For H03 - Flash not strong enough. Unable to light her up. could up the flash output some more or increase ISO with the same setting. An add on flash would be good but let's just work with what we have or can afford. Composure looks ok to me.
For S01 - Metering got tricked by her white skirt (extra bright). Maybe could up Exp by abit to compensate or change the metering.
For S02 - Flash too harsh and maybe could shot top down instead or bottom up. Maybe can consider to use the mirror to add interest to the shot.
For S03 - Looks good to me. Just that flash too direct. Can try using a tissue over the flash to diffuse the flash. If not reduce the flash output and up the exp compensation.
For the rest almost the same problem. But I can see that you are getting better as you progress for the day. Just keep shooting and you know what's your style. For PP, I think maybe you could give Picasa 3 a try. I do not know how to use PS too , too difficult. A good shot only reduces the amount of PP we need to do but we should not let our Ego get in our way from making a good shot to a better shot through PP. A bridge camera have enough limitations already, PP only makes it more manageable. Keep shooting.