[Beginner in creating DACs] How do I design a PCM5102A DAC Right?

No need for profanity 🙂

Not sure what you mean by - and headphone jack, but output gnd is referenced to analog gnd.

In any case, all you need is within the documentation TI provides. Some you probably won't be able to understand until you spend some time with books, educational material on the subject.

Sometimes "right" or "best" is not always by the book, so there comes experience into play.

Do you have anything written down regarding the project, or is this just a "want to do"?
 
I think this pic answer your question for what i meant:
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Not really no. Schematic, part used, would be quite helpful in this situation.

What i do see is bad layouting. If i may suggest, visit Altium educational materials both on the website, and on youtube. Those will be very helpful on the road you partake, very good engineers share their knowledge there. There are also seminars, so subscribe to their mailing list, and i do belive they have a free course in pcb design.
 
A couple of things. Many IC manufacturers offer "reference designs" for their products. They can be very helpful in terms of figuring out the PC layout and, since they include schematics, illustrate the function(s) of each pin.

Second, if they don't have reference designs they often have "eval boards", which usually come with very good documentation (like schematics). Either way, you get to see how THEY do it.

High performance products, whether they are RF, audio or somewhere in between, depend heavily on the PC layout in order to meet the mfr's specifications. Ignore that aspect and your design's performance will fall well short of what the DS claims. They use a 6-layer board? You want to, too. And so on.

As a retired failure analysis engineer with ~40 years of experience I also have one very important comment to make. Never, EVER, expect a product to deliver its DS-guaranteed performance if you use it in a manner that is NOT covered by the DS. It sucks if you spend a lot of time on designing and building something, only to discover that your "clever" design doesn't work the way you expect it to.