It'll help, but in a different way than you think. If you have a powerhead, or the filter output making the surface of the water move, then that's essentially the same thing an air pump would do.
But an air pump would also bring the water at the bottom, which is least oxygenated, to the top. If you have multiple powerheads to circulate the water all around the tank, and ripple the top, then that's all you need.
As far as plants, I can't say. But I know there's a delicate balance you need for a planted tank. You need the proper lights for certain plants and they also need phosphate in the water. I think there's a site called plantedtank.com or something like that. They may be able to better help with freshwater and planted tanks in general. This is a saltwater site, unless you run across someone that has experience with planted tanks here. Some do.