It almost never logs me in first attempt....."password incorrect".....always logs me in the second time.
That's very fishy sounding (or maybe even phishy sounding). Some browsers pre-fill in passwords, and if you have changed passwords, they still pre-fill the old one causing a first-time failure. Are you manually typing the password each time? Could be good old-fashioned typos, though most folks find that inconceivable.
My recommendation is to never enter your password unless you see the "secure" notice in the address bar, as indicated below. Yep, that means always HTTPS/SSL and that implies always Army.ca (or accept the security warning when you use HTTPS with the other sites).
When you don't use HTTPS, the username/password you enter goes in the clear and you risk it being picked up by The Bad Guys.
If there's a problem with HTTPS then, I'd like to address it... but I can log in and out repeatedly with no rejections so I'm not sure what you're experiencing.