Yes, "need" is the keyword when talking about necessary things.
"It is necessary to have things in order" = you need order.
For essential, it means that what you are talking about cannot work or exist without the "essential thing".
"It is essential to have things in order" = if there were no order, you could not work or function. The previous example was saying you could still work, but with difficulty. Order is the "essence", a central element.
However these words are often used interchangably...