Hi infomil!
The first of all, Thanks for use WSHK!
The problem that you have is very easy to be solved ??
The shortcodes for build your custom account page, must be added in your custom account page, and this page must be assigned how the WooCommerce’s account page (in the WooCommerce settings).
So for display the Downloads shortcode content, just need go to WooCommerce settings > Advanced and set how the account page your new custom page.
Remember that this page will be your new account page so must have too the Login form (this shortcode must be enable from WSHK settings, Customize the shortcodes section)
For separate the content for the logged in users than the non logged, you can use the restrict content shortcodes [wshk]content here[/wshk] and [off] content here [/off]
Is important to know that if you are using a page builder how visual composer or something like that, maybe you will need build first all the account page and for end separate the content in the HTML mode with the restrict shortcodes.
If you think that maybe it can be some hard for build, now you can get a Free addon for Woo Shortcodes Kit, called Easy My Account Builder and with just add a shortcode in your account page, you will can build your account page easilly from the WSHK plugin.
Get the new addon for Woo Shortcodes kit FREE from here –>EASY MY ACCOUNT BUILDER
I hope that it can helpfull for you, if you need some help to build your custom account page, just say me and i can build a fast example in your web. ??
Regards!