"I invited her for a dinner.' OR 'I invited her to a dinner.'?

[Untaught]

My respected teachers,

(1)

''No rush because we are going on bypass.'' Correct it please

(2)

''We are going OR walking by road.'' means?

(3)

''Get a wire fence built around your roof.'' Correct it please

(4) Get a cemented fence built around your roof.'' Correct it please

(5)

"I invited her for a dinner.'' OR ''I invited her to a dinner.''?

Thank you!

[James]

I would think:
(1) no grammatical error.
(2) ''We are going OR walking by road.'' means: we are going by road not by railway, airway, etc; or walking by road not through tunnel, across mountain, etc.
(3) no grammatical error but quite funny as an architectural design.
(4) no grammatical error but I am not sure if it is possible architecturally.
(5) ''I invited her to a dinner.'' is better.

[Mister Micawber]

(1) (There's) no rush because we are going on the bypass.

(2) We are (walking along the / taking the / going by) road.-- The meaning is as James indicated.

(3) Get a wire fence built around your roof.-- I agree with James.

(4) Get a cemented fence built around your roof.-- As with #3, and funny.

(5) I invited her for/to dinner.-- Both common.
_________________
Native English teacher at Mister Micawber's