Episode 4, and slowing down a good bit. So much this one seemed a bit short?
The ship seems to be pointing towards the space equivalent of an executive jet. The available holograms seem to confirm this. Someone suggested smuggling but really it seems a bit small for that. Irrelevant to the plot so far but it's a nice touch.
If you have your own ship and you got it by some means or another - Most sci fi shows where you have your rouge or Han Solo they won the ship, stole it etc and they make it their own - Never what it was originally intended for.
True, but you can often infer what they were intended for. Millennium Falcon has a lot of storage for such a small ship. Armed merchantman might be a more accurate description but it's used for carrying small high value cargo, nominally smuggling.
Most small ships in the Star Trek universe will not have a need for lots of holograms. unless you need to keep passengers or owners happy while traveling through billions of kilometers of space. Then it has a hologram specifically for this purpose that came with the ship from new.
In ToS the "ultimate computer" attacks a computer controlled cargo ship, with no crew. By this point most, if not all, such ships would be the same, or have a limited engineering crew.
Nice touch with the hologram not using it's hands on the controls, no point if it can interface directly with the systems much faster. Could have done the same for Data in Generations.