There a a lot of options to accomplish this. You have a few questions listed. Breadcrumbs can be a loaded question by itself. But Here is one option using the Menu Attributes module https://www.drupal.org/project/menu_attributes you could fill in a Title attribute. Then If you are using Panels, you could override the page name by using a Token of the Title attribute. This would let your breadcrumbs and menu use the 1st title, while giving you a 2nd title.

There a a lot of options to accomplish this. You have a few questions listed. Breadcrumbs can be a loaded question by itself. But Here is one option using the Menu Attributes module https://www.drupal.org/project/menu_attributes you could fill in a Title attribute. Then If you are using Panels, you could override the page name by using a Token of the Name attribute. This would let your breadcrumbs and menu use the 1st title, while giving you a 2nd title.