There are no FCC reporting requirements for Part5 15 radio stations. The Part 15 rules only require low power radio stations operating in this category to obey the specified technical rules. However, some rules in other sections of FCC regulations may, in certain cases, apply also to stations operating under Part 15. An obvious example of this is a rule stating that Part 15 stations are not required to broadcast any identification, or may use whatever ID they wish, provided it cannot be confused with a licensed station. I forget what section prints that rule, but it stands as an example of a rule pertaining to Part 15 stations that are printed in a different section of the rules.
However, stations engaged in public web streaming are subject to certain rules, the reporting obligations of music copyright being a prominent example, and also the DMCA (Digital Copyright Millennium Act) being another example.
The DMCA is a logging of all content streamed on a station whether it is connected with a copyright reporting obligation or not. The logs must be kept available for inspection for a certain length of time, and are generally dense rules that no one I have ever met fully understands.
Many commonly used streaming softwares are capable of compiling logs but must be closely managed by station managers to be certain of correct functioning. For example, Zara, the popular automated playlist is able to keep logs, but we have noticed that the assigned name of the logfile sometimes changes by error.
Other softwares also save logfiles, including B.U.T.T. (Broadcast Using This Tool) Encoder, and Icecast Streamer.
I am telling this from memory, please feel free to correct what I say.