You and your classmates are taking an introductory course in digital circuit design. As part of a project, your task is to design a simple electronic circuit for an arcade game that uses flip$-$flops. You need to choose between D$,$ JK$,$ and T flip$-$flops to create a circuit that keeps track of the player's score and controls the game's lights and sound effects.

Based on the scenario, answer the following questions:

$1.$ How can D flip$-$flops be connected to create a binary counter that accurately records the player's score as they progress through the game? What kind of information would you store in each D flip$-$flop?

$2.$ In the context of the arcade game, where do you think would T flip$-$flops be employed to control the flashing lights and sound effects that indicate game events?

$3.$ Imagine you had chosen JK flip$-$flops instead of T flip$-$flops for controlling lights and sound in the game. How would the behavior of JK flip$-$flops differ from T flip$-$flops in this scenario, and what changes might you need to make to your circuit design to accommodate JK flip$-$flops?