Is it correct if I use "need" without "to"

These are the sentences :

present form

a. Jane need go from here by bus.

b. Jane need not go from here by bus.

c. Need Jane go from here by bus ?

past form

a. Jane need have gone from here by bus.

b. Jane need not have gone from here by bus.

c. Need Jane have gone from here by bus ?

future form

a. Jane will need go from here by bus.

b. Jane will needn't go from here by bus.

c. Will Jane need go from here by bus ?

are they correct ? Please fix these sentences, if it is wrong and give the explanation of this topic.