hi boricua_y_moreno,
Just go to any page or post, and edit it. at the top there is slider options, click on discussion and comments. after doing this a comment box appear at the below of the page (editor)
uncheck both of it and click on save / update. Then your comments section will be removed form particular page.
To remove the html below the homepage comments area just add this css inside theme options -> design options -> custom css
.form-allowed-tags {
display:none;
}
Thank you!