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Jen, Your sister and I are going to dinner sometime in the coming month. You can come if you are not tight up on your school exams. I will like to treat you since last time I saw you that you gave me a good seat ticket to see a fantastic show.

Are they correct?

Thank you
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Hi,

Jen, Your sister and I are going to dinner sometime in the coming month. You can come if you are not tight up on your school exams. I will like to treat you since last time I saw you that you gave me a good seat ticket to see a fantastic show.

Jen, your sister and I are going to dinner sometime in the coming month. You can come if you are not uptight about (or 'close to', depending on your meaning) your exams. I would like to treat you since, last time I saw you, you gave me a good ticket to see a fantastic show.

Best wishes, Clive
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>tight up on your school exams
tied up in your school exams
(caught in, busy with)