Refinish or leave original?

I am debating on restoring/cleaning up the LB 3056 I acquired. Its 39 years old so it has some character. Right now it is all original with some paint missing on the deck, a little bit of surface rust on the shroud and rust on the chrome push handle. There is a piece missing from the deck in the front. My wife mowed the lawn with it last night and seemed to like it. She said she had are old neighbor stop and ask her if the mower was from the last century. I would like to make it look like new again so people will just think that it is a weird looking new mower. I am no collector, so I would prefer to refinish it. But if I were to be doing it an injustice by redoing an original that an actual LB collector would like to have, well then I would probably just leave it alone.

My plans would be as follows..

Deck and shroud - Refinish in grabber green
Push handle - rusty chrome now, refinish in silver metallic or a light creme color.
Wheels - nothing- they are original green wobbly wheels.

What do you guys think?
Here is a picture of it...