How will be the possible Genesis Starliners luxury variant be different from old luxury ship 890 Jump? I'm interested hear how much do they have different design goals and like do they have same mission types and role in the PU?

The 890 is a yacht, with a variety of extra-fancy features such as observation lounges and a boat bay, whereas the Starliner is a more efficient transport ship meant for speed and comfort. You can outfit the Starliner with state rooms, which will have an impact on the type of passenger carried... but there's not as much room as the 890 Jump. Ultimately, they serve similar roles, but differ in efficiency, speed, and modularity.