Hi Paul,
Blog is by default WordPress feature but if you don’t want to show it then go to dashbaord > settings > reading and select the static page. Choose front page as (Home) and leave blank for front post page.
You can disable comments as this is a WordPress Core feature. If you want to disable only certain page / post then go to particular page / post which you want to disable.
Click on screen options at right top of the page /post
Select the Discussion and comments so that it will display below the editor. You will be able to see like this.
http://awesomescreenshot.com/0774aj8y55
Unselect both of them and it will not display the comment section.
Thank you!