The dial (acryllic) glass rubs on the backdrop metal plate, causing the areas with grey "spots".
Take off the dial and polish (only) the affected areas with Novus #2 or similar.

The broken memory bar will have to be replaced, it's glued to the dial.
And the memory pointers seem to be missing. 

Martin

Thanks Martin! The polishing should be easy to do, I do have some polishing paste that I used for my turntable dust cover. The memory pointers of course are missing, but I imagine the only way to replace the bar is to take a complete one out of a donor unit.

So I took the chassis out of the case, but how do I take the dial off?

It seems to be held by something, but I don't want to unscrew the wrong thing - I don't know if I'll be able to put it all back together if it falls apart! :)

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The answer is very near in your photo. That metal thingy around the volume pot shaft is a nut. As far as I remember, there’s another one around the tuning knob, and removing those should do it...

What Mika just said - and some Beomasters also have short pieces of black tape from the dial edges to the chassis.

Martin

Ok, so it took a while to find the time for this, but finally I did and took the panel off. It turned out that it was only some residue, probably from a deoxit-type spray, that essentially I was able to wipe off. I also took the opportunity to clean the panel, the knobs, buttons and so on, so that it now looks a bit nicer :) Thank you very much Mika and Martin for the advice! As usual it was spot on! The only thing left is the dial bar with the markers, but I can live with it for now until I find the part or a cheap donor unit somewhere online.

Here are some pictures, the BM900 now looks very nice with my Type B's :)

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Good job !

It's beautiful 🤒

I agree.
Well done.
And a very nice setup. They don't make them like this anymore.

Martin

That is actually something I am puzzled with: why does the audio equipment nowadays look so uniform and boring? Of course, an analog radio dial is obsolete today, and that's half of the charm, but I am sure one could come up with better designs than just a black box with a couple of black knobs, and additionally would not add too much to the price. I primarily mean the mass-market stuff, but the high-end audio is not that much better. 

In any case, it is good that it some of the older units still can give so much joy :)