Looking at the parts catalog here:
https://catalog3d.winnebagoind.com/menu/Parts.htm
It indicates there were two different builds for that year, early as shown by having a 1 as the 7th digit of the RV serial number or a 2 for the later build.
But both seem to show a macerator stool.
My first thought was that any single item that drew the 12VDC battery power down enough to call it a brownout would be likely to trip a breaker or fuse. But if both the macerator on the stool as well as fresh water pump both start at the same time, that may change the issue.
A bit more info on the DVD and what is powering it? Is it a 110 AC and is it working through an inverter when it has to reset? If it is 110AC from shore power, that confuses things but if it is using the 12VDC to "make" 110AC, that leans toward a batttery supply issue.
Some small tests may help sort it.
One would be to let us know when and how it happens. What do you mean by brownout? I assume the lights go way down? Check that!
Then a way to sort is to note if it happens when you are plugged in and should have good reliable AC as well as DC power from the converter.
One big point to keep in mind for future is that batteries that run dry are often damaged and may need to be replaced sooner rather than later. Going by a parts shop like Auto Zone might be a good place to get a free load test done as a pretty reliable way to judge their value?
Maybe something like the stoool is drawing far too much current but that is not a big one for me as it would be expected to trip a breaker or fuse.
Dirty/corroded cables can really cut the power to things
Possible the batteries are not holding a good charge and working things off the inverter are pretty quick to point out any of that trouble.
More info needed!