I failed out of first year engineering, my CA is only 3.7 which isn't high enough to meet the requirement to continue. What are my options?

You can redo it. I know people who have done it.

Talk to Sally Williams. You can retake a course or two (in the spring/summer) that you didn't do so well at and try to push your gpa up. Or you can take a course that you liked but didn't do so well at and try your best in it.
Either way, 3.7 is not too far from 4 and you can easily push it to 4.0 if you try your best in the summer courses.
Good luck!

There's a fundamental flaw in this thread, right from even the OP's post:

Do you WANT to stay in engineering? Do you LIKE engineering?

I ask these questions because, so far, you've been presented with the fairly obvious answers (I mean, really --- if you didn't at least know there was a resource for academic guidance, well...). But perhaps the better options for you to consider would be alternate programs that suit your learning style, or your career goals, better.

Consider this. You are only ready to move on when you can answer to yourself, which path do you really want?