My Hurricane had a very scuffed and dull front end and grips which I restored to a high gloss using very fine grades of abrasive paper, then 'micromesh' followed by Brasso wadding (Duraglit). It might be a bit laborious, but I am guessing matt finish plastic could be polished to a shine with the above method.

As for the lettering, mine is the original style where it is 'formed' into the moulding, so it got a bit tricky in that region as I wanted to preserve them. A few years ago I did a similar job to a sorry looking Tempest, but it was the
later style with the tampo-printed lettering - no hope of saving them so it ended up smooth gloss black all over.