Part of this will depend on the condition of the stones, but generally something in the range of a few ounces is good. Much more than that and the burr will flip, the chase will be on. It doesn't change much from one grit to another in my experience. If the stones aren't in good shape it can require a microbevel and a little more pressure, but still will need to be no more than a quarter pound.
The stones are not new could probably stand to be dressed. I normally sharpen at 15 degrees with a 20 degree microbevel on the hard stone as the last step. The steel is mostly 42x series (420, 420J2, 420HC, 425M, etc) pocket and kitchen knives.
I've been looking at strops and pastes, but since edge retention isn't a strong point for most of my collection, it seems to be beyond the point of diminishing returns.