Choose the grammatically correct sentence from the given options.

The correct answer is Option (4) → The civil matter came up for hearing in the lower court.

The sentence is correct. Come up is a phrasal verb meaning to be presented in a court or a meeting for discussion or decision; the singular subject "the civil matter" takes the simple past "came", and every word is in its proper place.
Example: The case will come up for hearing next Monday.

Why the Other Options are Incorrect?

Option 1: She go to bed early and rises up early. — Incorrect.

• The singular subject "She" in the simple present takes "goes", not "go".
• "Rises up" repeats an idea: rise already means to get up.
• Corrected: She goes to bed early and rises early.

Option 2: I am seeing a beautiful rainbow. — Incorrect. See (to notice with the eyes) is a stative verb and is not normally used in the continuous tense.
Corrected: I see a beautiful rainbow.

Option 3: The kind king always render royal aid to the poor and needy in his kingdom. — Incorrect. The singular subject "the kind king" takes the singular verb "renders".
Corrected: The kind king always renders royal aid to the poor and needy in his kingdom.