If the flow is stopped the pressure at the end of the pipe will be the same as the house. When water starts flowing, the pressure drops due to friction. Ten gpm is a nice flow, 5 gpm normally adequate and 3 gpm has a flow reducer on the shower. If the 3/4 pipe were in good shape it should deliver 5 gpm no problem, maybe more depending on elbows etc. If you replace it with a 1 inch pic you should get lots of flow, 10 gpm easy. I would not fuss with an added pump unless you had no choice, or had one laying around.