The corrected form won't affect your tax unless you had overpaid your social security tax, which wasn't the case here. Your earnings are reported to the Social Security Administration through the W-2 form sent in by your employer, so that shouldn't be an issue. Consequently, I don't see a reason to amend your personal income tax return.
You should not be penalized for not paying in your social security tax on time, as it was your employer's responsibility to do that.
**Say "Thanks" by clicking the thumb icon in a post
**Mark the post that answers your question by clicking on "Mark as Best Answer"