Index: wp-admin/css/dashboard.css
===================================================================
--- wp-admin/css/dashboard.css	(revision 33848)
+++ wp-admin/css/dashboard.css	(working copy)
@@ -115,7 +115,7 @@
 	line-height: 2.1em;
 }
 
-.welcome-panel h3 {
+.welcome-panel h2 {
 	margin: 0;
 	font-size: 21px;
 	font-weight: normal;
@@ -122,7 +122,7 @@
 	line-height: 1.2;
 }
 
-.welcome-panel h4 {
+.welcome-panel h3 {
 	margin: 1.33em 0 0;
 	font-size: 16px;
 }
@@ -834,13 +834,14 @@
 	border-top: none;
 }
 
-#latest-comments #the-comment-list .comment-item h4 {
+#latest-comments #the-comment-list .comment-item .comment-meta {
 	line-height: 1.5em;
 	margin-top: 0;
+	margin-bottom: 0;
 	color: #666;
 }
 
-#latest-comments #the-comment-list .comment-item h4 cite {
+#latest-comments #the-comment-list .comment-item .comment-meta cite {
 	font-style: normal;
 	font-weight: normal;
 }
Index: wp-admin/includes/dashboard.php
===================================================================
--- wp-admin/includes/dashboard.php	(revision 33848)
+++ wp-admin/includes/dashboard.php	(working copy)
@@ -632,10 +632,10 @@
 			<?php if ( !$comment->comment_type || 'comment' == $comment->comment_type ) : ?>
 
 			<div class="dashboard-comment-wrap has-row-actions">
-			<h4 class="comment-meta">
+			<p class="comment-meta">
 				<?php printf( /* translators: 1: comment author, 2: post link, 3: notification if the comment is pending */__( 'From %1$s on %2$s%3$s' ),
 					'<cite class="comment-author">' . get_comment_author_link() . '</cite>', $comment_post_link.' '.$comment_link, ' <span class="approve">' . __( '[Pending]' ) . '</span>' ); ?>
-			</h4>
+			</p>
 
 			<?php
 			else :
@@ -1341,12 +1341,12 @@
 function wp_welcome_panel() {
 	?>
 	<div class="welcome-panel-content">
-	<h3><?php _e( 'Welcome to WordPress!' ); ?></h3>
+	<h2><?php _e( 'Welcome to WordPress!' ); ?></h2>
 	<p class="about-description"><?php _e( 'We&#8217;ve assembled some links to get you started:' ); ?></p>
 	<div class="welcome-panel-column-container">
 	<div class="welcome-panel-column">
 		<?php if ( current_user_can( 'customize' ) ): ?>
-			<h4><?php _e( 'Get Started' ); ?></h4>
+			<h3><?php _e( 'Get Started' ); ?></h3>
 			<a class="button button-primary button-hero load-customize hide-if-no-customize" href="<?php echo wp_customize_url(); ?>"><?php _e( 'Customize Your Site' ); ?></a>
 		<?php endif; ?>
 		<a class="button button-primary button-hero hide-if-customize" href="<?php echo admin_url( 'themes.php' ); ?>"><?php _e( 'Customize Your Site' ); ?></a>
@@ -1355,7 +1355,7 @@
 		<?php endif; ?>
 	</div>
 	<div class="welcome-panel-column">
-		<h4><?php _e( 'Next Steps' ); ?></h4>
+		<h3><?php _e( 'Next Steps' ); ?></h3>
 		<ul>
 		<?php if ( 'page' == get_option( 'show_on_front' ) && ! get_option( 'page_for_posts' ) ) : ?>
 			<li><?php printf( '<a href="%s" class="welcome-icon welcome-edit-page">' . __( 'Edit your front page' ) . '</a>', get_edit_post_link( get_option( 'page_on_front' ) ) ); ?></li>
@@ -1372,7 +1372,7 @@
 		</ul>
 	</div>
 	<div class="welcome-panel-column welcome-panel-last">
-		<h4><?php _e( 'More Actions' ); ?></h4>
+		<h3><?php _e( 'More Actions' ); ?></h3>
 		<ul>
 		<?php if ( current_theme_supports( 'widgets' ) || current_theme_supports( 'menus' ) ) : ?>
 			<li><div class="welcome-icon welcome-widgets-menus"><?php