Well, I am not sure. Autopilot does not do anything else, than continuously adjust the trims, and then the control surfaces. So if you set up a trim, and reengage autopilot, it will modify your settings as it wants. You can check this process out, if you check your trim gauge/knob, when disengage/reengage autopilot...your trim knobs will surely move. That is what autopilot is for.
I think, what really helped you, is that, when you level a plane, your speed will be increased. With an increased speed you can more easily continue your climbing. At many planes, you need to start climb slowly, and continuosly increase the speed as well. If you saw your speed was decreasing you must decrease your climb of rate, until speed is normalizing. If the speed was continue dropping, you must level the plane.
But I am interested which planes of the EHM fleet is "so hard to fly" ?