To add multi web site or store views in magento is not all that different to m1.
There are essentially 3 sections to edit : Plesk | Magento | .htaccess
Plesk
Ideally add your new domain name to your Plesk panel as a domain alias with only Web service selected. (ie disable Synchronize DNS zone with the primary domain / Mail service / Redirect with the HTTP 301 code) This will ensure that all the settings for your main domain are automatically inherited as are settings for varnish etc. However, this will mean you need a multi-domain ssl. If you have separate SSL for each domain then you will need to add the new Domain as a separate domain and copy all the settings fro your 1st domain ie php / nginx and apache.
Magento
1) Decide if you want a new website / store / store view. If you are creating a new Store create a root category for the Store definition.
2) In stores > All stores add the required website / store / store view as needed.
3) Note the code you used as this will tell magento what to present to the user.
.htaccess
Assuming that the domain
edit .htaccess and add the following at the end. Replacing your domain and your website code.
SetEnvIf Host www.my_second_domain.co.uk* MAGE_RUN_CODE=web_code
SetEnvIf Host www.my_second_domain.co.uk* MAGE_RUN_TYPE=website
or for a store
SetEnvIf Host www.my_second_domain.co.uk* MAGE_RUN_CODE=store_code
SetEnvIf Host www.my_second_domain.co.uk* MAGE_RUN_TYPE=store