as a customer when i create a new account the notification comes to the customer but not as a store owner. basically the store owner doesnt get any notifications at all through email 

Check your AbanteCart settings. To receive email notification about new order your need to turn ON Alert Mail setting in  Admin-System- Settings-Mail

The email notification for new user will work only if you have Approve New Customers setting ON

Hello.

This is not an error but minor warning.

I checked the permissions, they look good. I also cleared cache. When you say "delete all the files in system/cache", do you also mean the subfolders?

Yes, remove subfolders

Furniture Template Style 369     i pay 45 $ 2 weeks ago ...   and i see other templets  Extension Marketplace  and i cant see tamplets for 1.2

Hello.
Please contact with template developer at template Comments page https://marketplace.abantecart.com/index.php?rt=product/product/comments&product_id=145
Most of the time  vendors (template developer) provide free upgrades

I don't know how to do it. Help?

PLease check upgrade manual http://docs.abantecart.com/pages/design/forms.html

Hello.

What template you have?

Hello.

Your question is not clear. I see Forms Manager at your screenshot #2.
See http://docs.abantecart.com/pages/design/forms.html

Hello.

First please check forum search and Mail manual

Do you have any mail related errors in the AbanteCart error log? A common issue with using fsockopen() command is the firewall on your server may not be configured to allow the connection that you are trying to make