Question about Outlook Express

So I have an account with my college that they assigned me to use only for school, its the outlook mail. I tried logging into my account several times and it will take me to a small screen that says I'm logged into the outlook 365 account to click on the this link and it will log me out. On a side note I don't even have a outlook 365 account so how could I be logged into it? Once I click on the link and re-enter my account info it keeps taking me back to that small box. Why is this link not working to log me out of an account I have never accessed before?

I'VE READ ALL THE FORMS AND I STILL HAVEN'T BEEN ABLE TO GET THE QUESTION ANSWERED.  I HAVE LOOKED AND LOOKED AND STILL NOTHING.  I HAVE ONLY 6 EMAILS FROM YESTERDAY THAT I NEED AND THEY ARE NO WHERE TO BE FOUND.  I NEED SOME HELP IN GETTING THEM BACK.  THEY ARE VERY IMPORTANT.   SOMEONE PLEASE HELP

The Mail app won't keep deleted email out of my Inbox. I delete a bunch of old email, then it reappears in my Inbox the next time I open the Mail app.  This happens in the Mail app on all my devices: Laptop, Surface, Nokia phone.  The web version (Outlook.com) works correctly.  I've uninstalled and reinstalled the Mail app ant it doesn't fix the problem.

Dear Microsoft, I don't know if you are being dumb or being ridiculously brainless. How on earth can it be that because of a recent hijack on my email by some nonsensical hacker that I'm made to pay for it by being locked out of my account and be made to answer questions which I have long forgotten the answers to because I signed up for the account decades ago? Who the **** commits to memory "Subjects of emails recently sent" "Email addresses of contacts recently sent to" if the account is not actively used for sending emails but rather just receiving them?? I tried to enter all the info that I know into the Account Recovery page but apparently it is still NOT enough. Ridiculous is an understatement here. Best part is, for my most recent attempt, I took the most time in entering the information required and when I clicked submit, it tells me "Too many requests have been received for your account. Please try again in the next 24 hours".... I DON'T HAVE 24 hours you dimwits! I NEED to use my email! What's more, there ISN'T someone I can ask directly to help me with this.. I have to post in a freakin forum and wait for a decent response.... My god.... I understand that you guys are trying to prevent unauthorised access, but the way you guys are executing it is pathetic, honestly. If somehow I lose this account, I will never come back again, after having used Hotmail for the last 15 years. This is not the way to handle the issue. I have never experienced this sort of mind-numbingly backward authorisation system, ever. Oh btw, don't you guys think it's really dense that people have to sign up for another hotmail account to be able to post and ask for help for not being able to sign in? Pls tell me that there is another way out of this. PS: Your Captcha image and entry system is hopeless. I can't even tell at times whether a letter was capital or not in the picture, but yet the answer had to be case-sensitive....