Bamababe, I've moved your post to the Accounts and Passwords forum.
Currently, the feature to check the login dates of your Hotmail account is not available. I also regret to say that we can't confirm whether your account was compromised or provide you any information about who may have done so. I'm hoping for your understanding on this.
Btw, here are a few tips to help keep your account secured and private:
1. Use different characters on your password, and regularly update your secret question and answer.
2. Log out from your account every after your session by clicking the "Sign Out" button in your account.
3. Clear your browser’s temporary Internet files when using a public terminal.
https://windowslivehelp.com/solutions/accounts/archive/2009/03/03/How-to-optimize-Internet-Explorer-browser.aspx
4. Be sure not to click the “Remember my password” option at the Windows Live Hotmail Sign In page.