Accurate Conversion to Latin?

Question

I know, another conversion:-

Freedom for All

A Need for Freedom

Aura

Answer 1

Libertas pro omnibus = Freedom for All

Necessitas libertatis = A Need for Freedom

Aureola = Aura

Answer 2

Libery for all = Libertas omnibus

A need for freedom = Opus libertate est.  Latin had an idiom for a need for something. Romans used 'opus' plus a form of 'esse (to be)' plus the ablative of what was needed.

Aura = Aura. English took the word directly from Latin.

ADDED: 'Libertas Pro Omniorum' doesn't work at all. 'Omniorum' isn't a valid word. It's a mix of the word 'omnes' which is declined one way with an ending (-orum) from another type of declension that cannot be used with 'omnes'. Even if it were a correct declension, it would still be incorrect. The preposition 'pro' requires ablative case, and the '-orum' ending is genitive. 'Freedom for all' may be expressed by 'Libertas' - 'freedom', in the nominative case, plus 'omnibus' - 'all persons' in the dative case.