Yes, the site is secure save for (as far as I can tell) the one image that's transmitting in HTTP.
I'm not sure why the slowness. I noticed it last night on my iPad, but I don't notice it on my computer. I can contact tech support and see if there's a solution. On my iPad, the loading bar would pause at about 10% and then jump to 100% rather than just a steady pace across the bar, so I'm not really sure if it was taking longer to fully load overall or if it was just a noticeable pause and then a jump to fully loaded for the same amount of overall time.
PC, try logging in by clicking the login button rather than entering your information on the home page. Then, before submitting make sure to click stay logged in. That seemed to fix the logging out issue for me.