The relationship between this rabbit and mouse is called competition because they are both going for the same types of food which is mainly grass and weeds.
The relationship between the red-tailed hawk and the mouse is called exploiting. This is because the hawk is the predator and is benefiting while the mouse isn't.
In the case with these two types of flowers and the grass surrounding them, the relationship appears to be mutualistic. The flowers and the grass are both thriving and living just fine together. Neither plant seems to be hogging all of the sunlight or all of the water from the other.
The relationship between coyotes and deer is quite obvious. Its an exploiting relationship or predator prey because the predator always has the advantage meaning its an unfair relationship.