Comes down to the number you need to do and how much you want to spend on tooling vs. outsourcing. There is also the positional accuracy that you need. Stacking multiple pieces by welding or gluing can be an issue with regard to positional accuracy on the plate and the cutter walking as you go through each plate. I would be more inclined to set up a jig/stop system and doing one series of holes, then setting up for the next hole. This assumes you are not doing a large number of plates, at which point I would look at some form of automated cutting system. Drills in thinner metal will tend to distort the steel when drilling and can punch through the bottom unless you use a sacrificial backing plate to drill into. With a jig or stop system using annular cutters, each hole should take less than a minute using a mill.
The set of metric annular cutters should bring you with in spec. as 0.1mm is 0.0039" and must of metric ones will end up within the lower bound of the -0.005" spec. Hougen makes a metric series that will handle up to 1/4" thick steel. It is important that you follow the speed recommendations fro the annular cutters, which are slower, apply constant feed pressure and use lubrication. The metal peels off very cleanly in strands, there is also very little punch through edge or metal deformity. They give very clean consistent holes. Reamer could be used for close tolerance holes, I often use them if I need a specific close +tolerance over spec.
You also will need the mandrel to go with these but they are very handy to have. I use their Holecutter series for cutting holes in steel enclosures.
9mm
https://www.travers.com/product/hougen-11209-annular-cutter-or-tool-26-035-781
$11.05
11mm
https://www.travers.com/product/hougen-11211-annular-cutter-or-tool-26-035-783
$13.92
15mm
https://www.travers.com/product/hougen-11215-annular-cutter-or-tool-26-035-787
$19.91
21mm
https://www.travers.com/product/hougen-11221-annular-cutter-or-tool-26-035-793
$28.38