That is not how your site is working ... it is like half of it works on the settings for:
0= Not required

And half works for:
2= May browse but no prices unless logged in

I am also having issues trying to login ... my password stopped working so I did forgotten password and that let me in. I tried to change my password and now neither my old, the one sent to me, nor my new password works.

I am really not sure what all is goobered up on your site.

You might try switching to the Classic Template for a minute and see if things start working right to determine if this is a template issue ...

Also, on your Create Account is has a setting for country in there twice ... one that works and one that does not ...