I found that it is the problem with the overflow, if I set ms-core-menu-box to overflow: visible. it will show the Edit and Delete choice when you click the edit link. However, it will break the links on the site settings drop down menu at the top right.
I have tried to apply unique web part ID #mp1_0_1_Anchor with no luck.
position: inherit !important;
overflow: auto !important;
max-width: none !important;
but only get it to show "delete" but half of the menu box is still hidden
The default seattle.master is
After apply the responsive layout, The Edit drop down is hidden inside the web part zone (Zone 4).
Please give me some directions. Thank you so much!