How are inherited instincts related to deprivation states?
No, not really. In the first quote, deprivation states are mentioned separately from physiological arousal because homeostatic and nonhomeostatic motives for behaviour are often discussed as separate forces:


  Homeostatic motives include hunger, thirst, respiration, and
  excretion. They work to keep the body in a balanced internal state.
  The term homeostasis refers to the body's tendency to maintain such a
  balanced internal state. Many homeostatic motives are set in motion
  either by bodily deficits or bodily excesses. When the body needs
  water, for example, changes occur that cause thirst and motivate the
  person to seek something to drink. 
  
  Nonhomeostatic motives include sex, such activity as nest building,
  and curiosity about the environment. These motives are aroused by
  occasional forces. In the absence of such forces, nonhomeostatic
  motives may be inactive. In contrast, the needs for food, water, and
  air--homeostatic motives--have almost continuous influence.


The first quote thus just acknowledges this distinction without discussing it further. Here, deprivation states refer to homeostatic motives and physiological arousal to non-homeostatic ones. Freud does not make this distinction when he discusses instinctual drives.