One of our IT guys told me the software is set to log users off after 15 minutes of inactivity, this would happen no matter what else happens. I believe "Remember Me" is just a cookie kept on your computer that fills the login form fields, it does and cannot keep anyone logged on past 15 minutes.

The "You have used X out of 5 attempts" messages are to keep crooks from hacking our accounts by making automated password guessing impractical or impossible. The system locks the suspect account for a few minutes each time you reach 5 tries, I think it is 15 minutes. It should then reset to zero tries.

Again, if you are getting bizarre behavior somehow or other, it really helps IT if you can post a screen grab of the issue and include the browser brand and version, what happens when, and what ever else you think may help them figure it out. Our IT guy changed recently and we may not get attention to these issues for a few weeks.