"At the peak of inspiration, lung volume is FRC + one TV"
I think this is because at the peak of a normal/quiet inspiration, you are at the peak of TV, since TV is the air that your fills lungs during regular inspiration. Also, at normal inspiration your total volume includes ERV and RV. This is because ERV only decreases in forced expiration, not normal expiration. And RV is constant and will not change with any type of breathing. Therefore, FRC doesn't change at all during quiet breathing, and it will stay constant during expiration and Inspiration. At rest (right before you start inspiration), FRC = lung volume. So basically, when you take a normal breath your volume = TV (the volume you are inspiring, about 500 mL) + FRC (FRC = ERV+ RV; the volume that is in your after a normal expiration).
Also, why is intrapleural pressure slightly negative at FRC and not 0 ?
I'm not positive, but I think it's because your lungs have a tendency to collapse inwards, while the chest wall wants to expand. At FRC, the inward pull by your lungs is equal to the outward pull of your chest wall. This makes airway pressure atmospheric, 0. However, a negative intrapleural pressure is created due to the equal, but opposing pressures in the lungs.
And why do inspiration and forced expiration INCREASE pulmonary vascular resistance?
Pulmonary vaculature resistance is increased in inspiration and expiration because of the increased volume seen after the start of a TV. It is minimum only at FRC level, when your TV=0. Any deviation of volume from FRC (inspiration or expiration) will increase pulmonary vacular resistance.