Well as a kid Dresden clearly had more than 10 refresh considering he fought an outsider and killed a high level warden who I have a sneaking suspicion was possessed by Kemmler.
Harry most likely has a hidden aspect
or something along those lines. His player simply spent a fate point and declared that he satisfied the catch. No major refresh boost needed.
The second opponent was defeated by using lots and lots of sponsor debt to Lea, and probably some form of temporary sponsored magic. Again, this could be done by a very low refresh character.
Not that he necessarily was very low... he probably was at about 8, seeing that this is the minimum for full wizards, and winning this fight counted as his trial to be judged a full wizard.
General commentary:
Sex:
Anita's, or anybody's, extensive sex rituals are easily modeled by the ritual rules in the DFRPG... (lots and lots of mini scene declarations describing the various practices probably, plus consequences and...) if it's truly necessary to include those, which i think it is not, but that's besides the point.
Power progression:
I have not read the Anita Blake novels, but a friend of mine who really enjoyed them in the beginning, dropped them due to precisely the two aspects that were mentioned here. Too much sex, and too much power.
Harry has gotten stronger and stronger over the course of the books, but luckily he has not gotten too strong.
Also, Harry's increased power is often due to, how did Jim put it... "becoming less stupid" though his personal power has increased as well.
Personally I like the progression speed that the Fate system offers.
If your game requires a quicker progression, simply hand out more major milestones, though i can't think why it would be necessary.
So, after writing this i realized it's nothing particularly useful, or even new information... but i'm gonna post it anyways, because i don't want to have been typing it for nothing *g*