Starlight Shores is the Showtime addon town, and it can only have base game and Showtime careers, it's normal. Not everyone has Late night and Showtime, so that's why you won't find careers from one addon in towns from another addon, unless if you place the corresponding building. It's a matter of compatibility.
Some townies will be randomly assigned a career in the studio. There will be more and more with time (but not many, usually 3 or 4), but if you want you can add the sims of your choice with cheats.
Same with the elixir store, a NPC will be generated to work as a cashier there.