I haven't seen every available laser, but to my knowledge, a laser isn't going to do what you want. There are engraving lasers, and they won't cut metal. Not because of the power, but because of the wavelength of the beam. They are typically in the 40-100 Watt area in price and run from $15,000 to $40,000 in that power area. They will cut acrylic just fine, as well as engrave things.
Then there's the industrial laser. It'll cut metal. They are 1000 Watts and above. They don't engrave. They cut. You can mark something with it, but it'll just be an outline. You can drop $100,000 on one of those in a minute.
I'm not aware of any laser that will engrave AND cut metal.
To me, you can't do all you are trying to do with one machine.
Just my opinion. I could be wrong.
Just for reference, we have two lasers, neither of which will cut metal.