could be a few things
One, there is a damper on the pedal linkage that slows the rate at which the pedal can be moved. So, if the damper fails, you can easily mash the pedal as fast as you can and the transmission then just jerks hard, sort of like dumping the clutch on a manual shift. Similarly if you just let off of it all at once it will throw you over the steering wheel. Two, possible internal issue (low fluid, etc).
If it is an internal issue, there is VERY little information available for that transmission. For some reason Hydrogear (the manufacturer of the transmission) didn't give out a lot of information for that particular unit.
Yes it can be serviced. Again because of the lack of available information for that unit, unless you need to go into it for some reason, or it's leaking, it's not recommended to open it up. Typically if there IS an internal issue, many times it damages so many components that it then becomes a replacement situation rather than a rebuild.
And lastly, to drain/refill, you have two options. One, suck the fluid out of the vent/fill hole in the top via fluid extractor. Two, remove the transmission from the machine and then flip it upside down on the bench after plugging the vent somehow so that oil doesn't run everywhere. Then remove all of the bolts in the pan (cover) and you will likely break a few of them because that's just how they are, then remove the cover and remove the fluid. Then you get to drill out the broken bolts. Also replace the filter while you're in there but be really careful with the filter-it sits on a base. The filter base is removable and the filter is normally stuck to it, so when you go yanking on the filter the base comes out with it. Under the base is a spring & ball, there are several places it can fit but only one is correct--and that is not shown in the shop manual OR in Hydrogear's books to my knowledge. I have fought these from day one and I hate them. While the pan is off have a look down inside the case. You see any metal flakes? Replace the transmission. The way many HST's are made, if you see metal in them, the damage is usually pretty extensive and since hydrogear doesn't sell many parts for them, and the ones you can get are not cheap, it becomes more of a "which costs less" situation and usually the replacement option is less expensive.