Yes, a dry "whisk" with a soft brush or soft, dry cloth is all that you should use to dust graphite with. Unfortunately for me, I move these things around so frequently, that my graphite mat sees several lifetimes of abuse in a period of a few months.
Paper towels and glass cleaner for the aluminum components (whether anodized or not) are fine. There are aluminum polishes out there for the silver rigs (bare, polished aluminum) that work very well. It's something that you might think about doing perhaps once/year, but cleaning a turntable extensively can be dangerous to your cantilever's health, so I wouldn't consider this to be a weekly thing
For most people's skill level, I would recommend sending the graphite mat back to me for refinishing. You're handier than I am however, and I'll explain offline in a phone conversation both the specific lacquer I use as well as how to apply and refinish it.
It's real pity that sonics and durability are at odds with each other - or at least, I've yet to find a sealant that sounds as good as this particular lacquer.
The micro fiber cloths are strictly speaking not necessary for polished 'tables or polished/anodized ones.
In the early days of anozizing, I put out a few 'tables which prepped by bead blasting instead of polishing. The slightly rough texture had the effect of showing up any small bit of lint (paper towels), and the micro fiber cleaning cloths were the perfect solution.
... crafting technology in service of music
Once in a while, you get shown the light
In the strangest of places if you look at it right
... Robert Hunter