Im going to say yes. Im sure there are more problems. at the end of the day Im wondering if its a gearing issue and why does it stall up hill? if you point the nose down hill it restarts. opinions are awesome but im more looking for a possibly intelligent answer.
To get a intelligent answer you first must ask a intelligent question.
There are many things that could cause the engine to stall going up hill.
First post the engine model numbers so we know what engine you are talking about.
Second we are here to help for free and can not read your mind or guess what you are talking about.
Third give more info. Like how steep is the hill?
Does it stall when the gas tank is full?
Has it always done this or did it just start?
Without all the info we ask for we can only give you a opinion.
It has nothing to do with the gears ( this is a fact )
The 17hp engine will run that mower just fine. ( also a fact )
Possible causes. To low on gas, fuel filter clogged, fuel line rotting?
Carb is dirty, carb float and or needle not working properly.