David,

Righto..

BEZEL
The case/bezel/insert I mentioned earlier.. this is here:
http://www.ebay.co.uk/itm/200903939286?ssPageName=STRK:MEWAX:IT&_trksid=p3984.m1423.l2649

As you can see on first impression it looks like a brand new identical case to the Heuers, but it isn't.. it is a very similar design, but has 22mm lugs and a different overall case shape.
But, as mentioned before, the insert looks bang on like a Monnin insert. I bought one of these with the intention of taking out the insert as a back-up in case mine ever got ruined. I have yet to test to see if it fits, but I'm very optimistic it will fit.

CASE
Yes, your case looks like it could do with very light attention, specifically the brushing on the upper part of the case. If you are 'hands-on' you can have a go yourself. You whip off the bezel, and using a suitably fine wet n dry sandpaper draw the paper around the upper of the case in a steady circular motion. It's not easy though, so speak to a recommended watchmaker about it.

RELUMING
I would not touch the dial.. my advice.. don't do it. If the lume on the hands are cracking/brittle, this can fall out and get into the date window, and/or stain the dial. I personally would not have a problem having one of our resident experts relume the hands to match the dial.

GLASS
Don't be fooled into buying uber expensive crystals on ebay, this uses a standard sized/thickness, and can be bought for a few £/$ form a watch parts suppliers.

BRACELET
Yeah, some aren't that keen on the original jubilee bracelet.
I have found that Submariner bracelets are a decent fit.. of course these cost a fortune, but there are loads of sellers on ebay that offer aftermarket oyster bracelets - ranging from $20 upwards.
Below is a photo of one of my 'custom' Heuer divers with an aftermarket bracelet=, which cost very little but is decent quality, has solid links, and really looks the part.
Don't forget that Heuer did, in the very early life of these divers, originally sell them on an oyster style bracelet, so you aren't deviating too far from the 'original look'.

Aftermarket oyster...

Hope that's useful.
Any more questions, fire away.

PS. Bit cheeky.. but if you fancied a leather 'vintage look' strap, I make em!.. check here:
http://heuerville.wordpress.com/%E2%96%BA-heuerville-straps/

Stewart
- Heuerville