Since I've never heard of an F10 chassis I googled the motorhome you described. I believe it's built on the Ford F53 chassis.
As far as the brake cylinder is concerned take a close look at the chassis in this picture:
Detroit Chassis
It's a complete F53 chassis as delivered from the manufacturer (Detroit Chassis) to the motorhome builders. Just below the steering column is the master cylinder. Since the manufacturer delivered the unit with the master cylinder installed it should be covered under warranty.
There is no washer assembly (it should be near the coolant overflow tank) so that was probably installed by the coach builder. In that case you'll have to know the length of the warranty offered by Tiffin.
The AC is a bit more "iffy". Ford installs the compressor, condensor and related plumbing. It goes to the coach builder with the hoses to the valving and evaporator plugged off. The coach builder installs the valving, evaporator and controls. So depending on where the problem occours it will be covered by either the coach builder or Ford. In our case we had to have some work done on the AC while it was under warranty. The Ford dealer consulted with Winnebago and they worked out who was going to pay for what.
Concerning changing the transmission fluid I think you'll find no manufacturer or coach builder covers that aspect. It's considered a maintenance item (just like changing engine oil and filter) and is considered a customer responsibility.
As mentioned earlier it is not uncommon to have a chassis a year older than the body. That doesn't change anything as far as the warranty is concerned. The chassis is warrantied for 3 years or 36,000 miles from the date of delivery to the consumer. At the time you purchased the coach you should have signed (and received a copy of) a form detailing the date of purchase and the mileage on the unit at that time. The warranty starts on that date and extends for (whichever comes first) 3 years or 36,000 miles beyond what was shown on the odometer at the time of purchase.