Facebook Canvas & Page Tab URL

Hi guys,
Joomla 3.7.4 + JFBConnect 7.2.1
On a live site I'm running https I decide to run again the Auto Tune to check if all was right, so:

Auto Tune > Facebook App > Canvas > Canvas URL: https:// ... NO, Auto Tune suggest me to input http:// ..., but I'm running my site under https. So, Is it a wrong suggestion ? Do I haveto leave blank that field ? Do I have to input http also if I'm running under https ?
Auto Tune > Facebook App > Canvas > Secure Canvas URL: https:// ... OK

Auto Tune > Facebook App > Page Tab > Page Tab URL: https:// ... NO, Auto Tune suggest me to input http:// ..., but I'm running my site under https. So, Is it a wrong suggestion ? Do I haveto leave blank that field ? Do I have to input http also if I'm running under https ?
Auto Tune > Facebook App > Page Tab > Secure Page Tab URL: https:// ... OK

Hi Melisa,
many thanks for the info, anyway:

mel wrote: ...Autotune may just use whatever scheme the admin area is loaded with, so if you're in http when running autotune, that's why you'll get http...

Sorry, but something is not running as expected, because my Admin area is loaded as https:// ...

Hi Melissa,
if can be useful, I can provide you an online copy of that site in a subdomain with a Super Admin access (or what you need)...

Thanks for your efforts...

Hi Alex,
Okay and thanks. If you change idea, just let me know, to be sure today I made a backup of that site...