I can’t help with the green color, but maybe some ideas on paint types might help. I assume by “lacquer” you are referring to a clear (transparent) finish meant to protect the bare metals from oxidation. It is best to use the same type of paint/solvent system (whether clear or colored) to avoid problems, such as lifting the previous finish (“messing” with the paint as you mentioned). For example, spraying lacquer over acrylic enamel will usually lift the enamel, ruining the finish.
Lacquer can be clear or colored (tinted) and another option would be acrylic enamel (also clear or tinted). There is also the “sheen” to think about (gloss, semi-gloss, satin, flat, etc.).
Probably the best two options would be lacquer (if still available) or acrylic enamel. It’s probably best to avoid water based coatings (like water-based spray enamel), since the clear coat may discolor the bare metals before it dries. Lacquer will generally be the easiest to spray in a smooth finish (due to the high solvent content - good for painting, bad for the environment).
If you use the same paint system as noted, it doesn’t matter what order things are sprayed. So you might do it to minimize masking.
A couple of options for spraying would be an air brush or if you search for “custom spray paint” you can find companies online that will mix a color to your specifications and load it into a conventional “rattle” can like you buy at the hardware or hobby store. Getting them a color sample might be difficult, though. Hopefully someone will chime in with the exact green to use.
I hope this helps a bit.