Here is another approach that might help to address the "is there a log that I'm overlooking" in the question ...
Start from a "Crosstab table" containing statistics (summary info) of the Watchdog Statistics, as in this sample:
This sample does not actually include any info about "deleted content" (because no such records were found in the specific situation). But it should be clear that you get 1 row for each flavour of Watchdog entries. Note those red numbers to the right of the table, which are actually hyperlinks that can be used as drill-down reports. I.e. if you click on any of them (like the "2" for "Page not found"), you get a details report about (in this case) the 2 specific records related to the "Page not found").
How did I create such drill-down report? Rather straight forward ... I created a custom report using module Forena. More details about this specific case can be found in comment #2 of issue 2337327. Obvious, I didn't really do any effort to beef up the look-and-feel of that report, like background, etc. I'd be happy to share the "source code" of that custom report, e.g. by adding it as an attachment to the same issue. Note that at the time that comment was added, it was rather a work-in-progress version of that report. And in the meantime forena has evolved to make such crosstab tables easier to develop. Today it even allows for charting with drill down links.
Be aware: I'm a co-maintainer of forena.