Run on sentences and Fragments

Is the sentence "I work hard during my English class I have no homework." written correctly or is it a run-on sentence?

Is the sentence "The eagle soared high above the trees and mountains, and it was beautiful." written correctly or is it a run-on sentence?

"I am so tired I can't wait for the holiday break!"

We followed the path; we still got lost.

Is the sentence "We have a new car it is bright red." written correctly or is it a run-on sentence?

Choose the grammatically correct sentence:

I can't wait to build a snowman it will be like a Calvin & Hobbes snowman!

I can't wait to build a snowman; it will be like a Calvin & Hobbes snowman!

Choose the grammatically correct sentence:

I hope we will have no homework, so I can play outside.

I hope we will have no homework, I can play outside.

Choose the grammatically correct sentence:

A Long Way Gone is a story about a boy soldier, he was from Sierra Leone.

A Long Way Gone is a story about a boy soldier from Sierra Leone.

Choose the grammatically correct sentence:

The basketball game begins at 7:00, make sure you're there before 6:30.

The basketball game begins at 7:00. Make sure you're there before 6:30.

The basketball game begins at 7:00 make sure you're there before 6:30.

Which run-on sentence correction is NOT correct? Options:

I am so tired. I can't wait for the holiday break!

I am so tired; I can't wait for the holiday break!

I am so tired, I can't wait for the holiday break!

I am so tired, so I can't wait for the holiday break!