The first and third point can be easily corrected manually by opening the whole USB drive in the freeware program Mp3Tag which makes it very easy to inspect and correct id3 tags for a whole collection. Recommended.
I have restructured my MP3 librairy with TagScanner (excellent free software and easy to use) for my Tesla USB stick.
Anyway, After restructuring my library I found that MP3 software players needs to use the proper tags to offer a proper browsing which Tesla software doesn't use them properly.
The browsing by albums needs to use the "Album" and "Album Artist" tags to sort them, not the "Artist" tag. Using thoses tags, you endup having one single "Pulp Fiction Soundtrack" album from "Various Artists". Then, the browsing by artists needs to use the "Artist" and "Album" tags to sort them. Using thoses tags, you end up having "The Tornados" in "Pulp Fiction Soundtrack" album.
Tesla UI uses the "Artist" tags in the album view instead of the "Album Artist", this is why Tesla shows up multiple "Pulp Fiction Soundtrack" albums, one for each distinct "Artist" tag instead of the single "Album Artist" common value "Various Artists". The artists browsing is ok though.
This is a very simple correction that can easily be done.