Well I've discovered the answer albeit at the price of selling my soul to Google.
First: Install Google Calendar on both devices. Then anything put into Calendar on the Laptop automatically syncs to the Mobile. I'm yet to figure out how to sync my Mobile to the Laptop but I live in hope.
Second: Install a program called " Checker Plus for Calendar" on your Laptop. This installs an icon in the notification bar which gives a pop-up when something is due. Clicking on the icon also brings up Calendar. Now, how to get pop-ups on the Mobile.
Third: Install the Google Now Launcher on your Mobile and use it instead of your Mobile Launcher. The first item that appears is Agenda with today's appointments/tasks. At the bottom of this it says " Show full agenda" which shows, as you would expect, your full agenda. Simples!