There doesn't appear to be a claim in the complaint regarding any child pornography laws yet. But who knows--that may change if new photos turn up during discovery.
Here's some thoughts on the Fourth Amendment illegal search claim, at least:
There is this 2001 case, Kyllo v. United States, that held it illegal for the police to use a thermal scanner to detect heat lamps in a guy's house (the heat lamps being used to grow marijuana). The Supreme Court held, in an opinion by Justice Scalia:
"Where...the Government uses a device that is not in general public use, to explore details of the home that would previously have been unknowable without physical intrusion, the surveillance is a 'search' and is presumptively unreasonable without a warrant."
Seems to me this case falls pretty squarely within the Kyllo rule. Maybe webcams are in public use, but a spy program connected to a webcam and operated by someone other than the possessor of the computer would probably not be. The webcam photos were of the inside of a home, and those photos could not have otherwise been taken without going inside the home.