You might try "elbow grease" (it is a real product !) solvent free de-greaser to get the brown stains off machines. It looks like rust, but generally it is old old oil that has seeped out of the machine over the years. It seems to work well, and isn't aggressive. I might be a bit careful over the transfers in case they are not clear coated (not sure if they are). Autosol is a more aggresive metal polish (if that's the same product you are thinking of ?) so I'd be careful with using that on painted areas, although according to the Husqvarna service manual, these machines are electrostatically painted with up to 3 coats and heat hardened in between, so the finish should be pretty tough anyway.
The cover where the bobbin winder is, is plastic so probably better just to take that off and wash it separately, but be careful - there's a reason most of them are cracked (like mine)
because the screws have been put back in too tight.
I've used Meguiars cleaner and polish designed for musical instruments, like shiny black pianos, to finish off. Those are very gentle on finishes, and work well on machines too. A bit expensive though.