Define meanings of need/have to/be to while matching the items on the right to the items on the left.

Students have (got) to wear school uniform here.	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
Do we need to get a visa for the USA?	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
He is to come at 6.	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
He was to have come at 6.	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
All human beings need/have to have enough sleep.	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
You don't have/don't need to pay to visit museums in Britain.	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
Are we to do it now?	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
This has to be the place.	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
You needn't have bought it.	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.
Need we really go there?	??? failed arrangement external obligation absence of necessity in the past Asking for instruction external obligation external obligation (arrangement) doubt+annoyance necessity deduction absence of obligation or necessity.