This review by Sean Carroll, who is an expert in the subject matter, seems to analyze the book and the reviews pretty nicely.
Nothing about modern physics explains why we have these laws rather than some totally different laws, although physicists sometimes talk that way — a mistake they might be able to avoid if they took philosophers more seriously
Leading inflationary multiverse theorist Andrei Linde (and others) gives significant enough credence to the Boltzmann brain problem to tweak some of the parameters of his theory (here for example http://arxiv.org/abs/hep-th/0611043). Are there more elegant ways to deal with the issue that LWs are aware of that would not require changing physics to accommodate?