aww, that hard on yourself after a SINGLE class? :-) I guess you're driven at least. =P
first off, yes, record yourself. it seems vain, or only for people who clearly intend to post themselves on youtube to show off, but it really isn't. (okay, maybe sometimes. =P) but it really can be a good tool.
also opposite of everyone else, I wasn't a dancer but I did have a good strength base and I thought it'd be easy because of that. SO wrong. =P I probably did have an easier time with some things (I was climbing by the third class and attempting to invert*) but I'm sure I'm still lacking in the gracefulness department. =P
my biggest problem was, and still is, even though I haven't taken a live class in forever, is letting go. maybe you're just ridiculous-looking in your head! I remember watching myself try and do things like snakes and hair flips and I was like "wow, what a poser". Poser or not, once you start having fun, you start thinking you look better too. :-)
* - before you blame the school for letting me do that it's because my schedule didn't really fit well with the beginner classes and so I e-mailed the studio asking if it was okay to try a higher level class since I didn't want to wait another few weeks until the schedules matched up again. I think especially since I was going to a class with an instructor who remembered me and could keep an eye out for the newbie they said I could go for it. she called me "the strong girl" because at my first class she showed us fan kicks as a bonus strength building move and I apparently did them really well. that little strength didn't get me too far though... =P