I have just retired and sold my manufacturing company. I have owned the company all but 2 years when I tried working for the man.
I am in the USA, in Tennessee. This is based on legal advice, updated over the years.
I can fire you for cause or no cause at all and with no warning at all. You work for the pleasure of the company.
I don't advise anyone to put personal data on a company-owned computer.
If you try to delete or wipe the company machine remotely, you have committed a computer crime, specifically theft or destruction of company property. The company has to right to examine all the data on the company computer and linked accounts, personal or otherwise, to make sure no trade secrets or other IP was being stored or transmitted using your "personal" accounts. I've worked with the district attorney and prosecuted two employees who tried remote (or local, in the case the employee is given a short notice of his pending discharge) wiping. both were indicted by the Grand Jury and both were convicted. One is still in prison.
You can and probably will be forced by the judge to reveal the new passwords on accounts you've changed remotely.
My advice is to back away from this, do nothing and learn your lesson.
My second advice is if you want to converse personal data at work (an ethically dubious practice), use a phone or tablet and do NOT use the company's WiFi. Use your cell company account. In many states including Tennessee, Any data you transmit over the company Wifi the company has the right to examine for IP violations.
many companies, including mine, will not allow personal computing devices in the work spaces where IP is developed or manipulated. I provide locker space where the employee can lock up his personal data device for the duration of the work shift. Even with those companies without specific controls, conduct of personal business is theft of your employee's time and THAT can be prosecuted.
Having an allegedly pending emergency is no excuse. Instruct the hospital or whatever to contact the switchboard which can contact you.
Each new-hire gets a spiral-book on personal IT business. It is stated at the beginning of the document in large letters that the first offense is an on-the-spot firing offense. The ex-employee is escorted to his car by security. A designated employee separates out personal items such as photographs and so on from company property and puts the personal property in boxes. The fired employee can make an appointment to pick up his personal property. He is escorted at all times he is on the company property.
This may seem harsh. I used to have as liberal rules on personal computing devices as most companies - until I lost a patent fight because an employee had been sending our IP to a competitor, after which he took a job with them. This was before the toughened IP protection laws. I had him prosecuted for theft of IP but I didn't get my patent.
My IP attorneys and I sat down and formulated this policy. Our policy manual suggests that if an employee has to conduct personal internet business, he go to his car and do it.
We bend over backward to keep our employees happy and satisfied with their work environment and turn-over is very low. But we are hard-asses about personal computing and that is explicitly laid out in the manual each employee gets. Turn-over is very low, almost non-existent.
Millennials tend to have the attitude that all that is necessary to do something is to want. I try to hire older, more experienced people but when HR sends me an occasional Millennial, I sit him down in my office and we have a lesson on rules compliance and ethical behavior. For most, this is a whole new experience, having neither their parents, their school and of course not their church which few attend have taught them the basic things my parents (The Greatest Generation), my school and my church taught me. One definition of moral behavior is doing the right thing when nobody's watching.
In summary, do nothing about this incident, suffer any adverse consequences from having personal data on your work computer and learn a lesson in basic morals.