FAA violations and accidents

I know of two accidents. In neither accident was anyone injured but in
both the plane was substantially damaged or totalled. The FAA sighted
the owner operator in both cases for violations involving the aircraft
logging. In one case they did not like the wording of the last annual
and in the other they did not like the wording or compliance (I am not
sure which) of an AD.

I wonder, does the FAA just automatically ask for the owners logbooks,
then peruse them until they find a violation? Or are these cases
unusual. In the case of the wording of the last annual, it had NOTHING
to do with the accident (he landed short, in the mud and flipped,
pilot error). The second, I am not sure, the engine failed, so
maintenance might be an issue.

Is there anywhere where an owner/operator can go to get his logbooks
"audited". Find deficiencies and the rectify them?

Is it approved to just keep the stickers from work done loose and not
pasted in and then paste them in later?