Give two reasons that the rat population is not a hardy weinberg equilibrium

1. The population is under selection pressure from predators 
2. Hey now, no population is ever at H-W equilibrium: 
mutations happen 
immigration and emigration can occur 
the population is not huge, which means that genetic drift can happen 
mating is not completely random -- a rat is more likely to mate with someone local than with someone living in Paris, France. 

b) The small rats will be selected for (assuming there are predators in this ecosystem that are less likely to look in bushes, and further assuming that the small rats do not have reduced fertility by dint of being small) 
This is "directional selection" 

c) I would expect the "smallness" allele frequency to increase in this population over time, and the "normal size" allele frequency to decrease.

Rats are seen barely by Humans.
The Only thing the same as rats are mole

Yes it is hereditary because of the penis