Some important issues need support !!

Why it always auto-login on my home page. Can it disable ?

Looking at your page source, it looks like you have this setting enabled in JFBConnect. Please disable 'Auto Login Facebook Users' setting in the JFBConnect backend > Configuration > Facebook tab.

How to config to do "one click" login success by use FB login button on my site?
Sometime it will redirect to "/component/jfbconnect/?view=loginregister&provider=facebook&return=Lw==" page to make sure some information.
Sometime it will redirect to a window FB login page but now user has logged on FB, Why it need login again ?
I hope the FB login button can easily one click login success and no other process to login.

* First, set the 'Enable Automatic Registration' setting in JFBConnect backend > Configuration > General to Yes. For social networks that provide an email address (such as Facebook), a new user should be able to be automatically created without going to our login / register view.
* When I click the Facebook login on your page, I am first prompted to accept permissions for your application to access my profile and email address. While it does say Login on this popup, you're not actually logging on again. Once the user accepts the permissions for your page, they will not be prompted on a subsequent login.
* I think this might be just a matter of your site having the 'Auto Login Facebook Users' setting enabled instead of the desired 'Enable Automatic Registration' setting.

Why I used mobile to login with FB login button.(iphone ) It show " google chrome for ios doesn't support this feature.please use Safari and try again

Could you try setting the JFBConnect > Configuration > Facebook tab > 'Show 'Login Credentials' in popup' setting to No. We've never seen this error before it looks like the javascript popup method doesn't always work on mobile Chrome. This setting will redirect the user to Facebook for credentials/permissions and should hopefully solve this problem.

Try these settings changes above and let us know if you continue to have problems.

-Melissa

Glad that seemed to have answered your questions. Let us know if you need any further assistance.

-Melissa