This entire dialogue is in the informal register, and thus some words and particles will be omitted. You will need to also pay special attention to the words for ‘yes’ and ‘no,’ as they can sound similar to an unfamiliar listener.

This question is asking us when Ken and Robert are playing games. In the fourth line of dialogue, Ken confirms that the two of them will play games together and then asks Robert when. Robert asks if four thirty works, to which Ken responds that it does. We answer as follows:
ロバートさんとけんさんは、四時半にゲームをします。

This entire dialogue is in the informal register, and thus some words and particles will be omitted. You will need to also pay special attention to the words for ‘yes’ and ‘no,’ as they can sound similar to an unfamiliar listener.

This question is asking us if Takeshi is coming to play games and why/why not. In the sixth line of dialogue, Ken confirms that four thirty will work and asks what Robert thinks of Takeshi playing also. Robert reports that Takeshi has a part time job (at that time). We answer as follows:
いいえ、たけしさんはゲームをしに来ません。アルバイトがあると言っていましたから。
（いいえ、たけしさんはゲームをしにきません。アルバイトがあるといってましたから。）

This entire dialogue is in the informal register, and thus some words and particles will be omitted. You will need to also pay special attention to the words for ‘yes’ and ‘no,’ as they can sound similar to an unfamiliar listener.

This question is asking us if Tom is coming to play games and why/why not. In the eighth line of dialogue, Ken asks if Tom will come. Robert reports that Tom should be fine as he said that he is not busy on Sunday. We answer as follows:
はい、トムさんはゲームをしに来ます。日曜日は忙しくないと言っていましたから。
（はい、トムさんはゲームをしにきます。日曜日はいそがしくないといっていましたから。）