Hi a lipo is light easy to carry and will power a 12v monitor for a good hour or more depending on MAH , I would use the 1500 just for the quad and buy a battery just for the monitor , this may interest you too some guys buy a 5000 mah 4 cell to just power the charger at the field , your need to check what the max voltage input is for the DC side of the charger
you may be able to use a power bank but your need to check spec of monitor and power bank
you may be able to use a power bank but your need to check spec of monitor and power bank