Why advantages do females gain by mating

Question

Problem:

Describe the answer of all the question in detail:

Question 1: Is there evidence to suggest that females prefer to mate with alpha males, rather than mating at random? Explain

Question 2: What are two advantages of sexual territoriality for dominant male roaches?

Question 3: What are two potential disadvantages to holding a territory?

Question 4: What must be true for sexual selection to maintain a sexually selected trait in a population?

Question 5: Why advantages do females gain by mating with a dominant male?

Any help would be greatly appreciated!