diff --git a/lisp/org-element.el b/lisp/org-element.el
index cdb574e17..78b185197 100644
--- a/lisp/org-element.el
+++ b/lisp/org-element.el
@@ -3912,7 +3912,18 @@ element it has to parse."
 	     ((looking-at "%%(")
 	      (org-element-diary-sexp-parser limit affiliated))
 	     ;; Table.
-	     ((looking-at "[ \t]*\\(|\\|\\+\\(-+\\+\\)+[ \t]*$\\)")
+	     ((or (looking-at "[ \t]*|")
+		  ;; There is no strict definition of a table.el
+		  ;; table.  Try to prevent false positive while being
+		  ;; quick.
+		  (let ((rule-regexp "[ \t]*\\+\\(-+\\+\\)+[ \t]*$")
+			(next (line-beginning-position 2)))
+		    (and (looking-at rule-regexp)
+			 (save-excursion
+			   (forward-line)
+			   (re-search-forward "^[ \t]*\\($\\|[^|]\\)" limit t)
+			   (and (> (line-beginning-position) next)
+				(org-match-line rule-regexp))))))
 	      (org-element-table-parser limit affiliated))
 	     ;; List.
 	     ((looking-at (org-item-re))
diff --git a/lisp/org.el b/lisp/org.el
index fed1ba18c..ae610970b 100644
--- a/lisp/org.el
+++ b/lisp/org.el
@@ -19825,7 +19825,8 @@ object (e.g., within a comment).  In these case, you need to use
     (cond
      ;; In a table, call `org-table-next-row'.  However, before first
      ;; column or after last one, split the table.
-     ((or (and (eq (org-element-type context) 'table)
+     ((or (and (eq 'table (org-element-type context))
+	       (not (eq 'table.el (org-element-property :type context)))
 	       (>= (point) (org-element-property :contents-begin context))
 	       (< (point) (org-element-property :contents-end context)))
 	  (org-element-lineage context '(table-row table-cell) t))
@@ -19851,9 +19852,8 @@ object (e.g., within a comment).  In these case, you need to use
       (call-interactively #'org-open-at-point))
      ;; Insert newline in heading, but preserve tags.
      ((and (not (bolp))
-	   (save-excursion (beginning-of-line)
-			   (let ((case-fold-search nil))
-			     (looking-at org-complex-heading-regexp))))
+	   (let ((case-fold-search nil))
+	     (org-match-line org-complex-heading-regexp)))
       ;; At headline.  Split line.  However, if point is on keyword,
       ;; priority cookie or tags, do not break any of them: add
       ;; a newline after the headline instead.