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Whether you would be eligible for unemployment benefits if you quit would depend on whether the state's unemployment office would rule that quitting to take care of a spouse who is in medical distress is quitting for good cause. So, you need to make sure to put in your resignation letter that you are being forced to resign to take care of your spouse who is medical distress. I happen to think that this is a good cause for quitting. However, unemployment office may see it differently.
I cannot contact you. If you need to speak with an Attorney, you need to make the request through the "Additional Service Offer."
You should not include the e-mail in your response because even if the e-mail is titled "urgent..," there is no medical urgency there. You need to give a reason for your resignation just as I previously stated. Unfortunately, I cannot tell you exactly what to say because that would amount to giving you legal advice, which would be a violation of the site rules and my bar license.