The logo should encompass both elements and be vectored (so it transfers easily to a laser as a signature), but one element should be able to be removed and stand on it's own without the other. As an example the FDA may kill the vaping industry so the laser engraving and cutting portion would continue.  Or maybe the laser engraving doesn't take off and I'm back to just vaping products.
I've had the name DETS since 1997, and in both cases, vaping and laser engraving, I'm left with trying to square peg / round hole an acronym or meaning. So anything you can do to bring cohesion to the name would be great.
The business card and social media should be geared toward the laser engraving and cutting services.