This series of Starstruck should not be confused with the original, 1980s series. The 1980s series has 6 issues, while this series has 13 issues. Distinguishing them can be difficult from titles and publication dates alone, as several publishers and magazines (Marvel, IDW, Dark Horse and Heavy Metal) have all had a hand in publishing some or all of Starstruck at different times, and some of the different editions of the original 1980s series maybe contain some differences in extra content or edits, although I have only read a single version of each limited run, so I am not able to explicitly mention details.
This series, I believe, would have been initially known under the monicker "The Expanding Universe", or at least part of it would have been. Some or all of it would have been initiated in the 90s, but the full contents, to my understanding, was not published until 2009.
In terms of story, the Expanding Universe storyline is essentially a prequel to the 1980s series, which in turn was a prequel to the original Starstruck stage play.
Structurally and narratively, the story essentially sets up how the members of the feuding Bajar and Madea families are set up into their respective positions at the start of the original comic book series, and it does so by following them through their life, from childhood through adulthood and until they all converge around Recreation Station 97, which is the fulcrum of the original comic run.
The series appears to me to attempt to explain a lot more than its predecessor did, with specific introductions made in both a faux-historical and faux-encyclopedic fashion to explain slang terms, which character is which and so on. Personally, I have to admit that I found these segments to be a hindrance rather than a help, not so much in clarity, but in pacing, as they are very wordy and take time working through. I wish some of the explanations had been more organically worked into the narrative itself, but I am not able to tell exactly how that should have been achieved.
In simple terms, the story, while long and twisty, amusing and confusing as all Starstruck stories seem to be, is basically the coming-of-age stories of primarily Galatia 9 and Brucilla the Muscle. In additon, the Bajar twins (Kalif and Ronnie Lee Ellis) as well as Galatia's half sister and several other supporting characters. The stories themselves are an amusing, irreverent romp that frequently satirizes religiosity, media, militarism and popular culture, while never taking itself too seriously.
This run of the comics feature A LOT more worldbuilding than the original run, and this does help ground the setting somewhat, and makes the motivations of the characters just a little bit more explicable and understandable, and it also makes it somewhat easier to distinguish several similar-looking characters from each other.
Unfortunately, the team-up of the series main characters, Galatia 9 and Brucilla the Muscle only happens towards the very end, making their chemistry and cameraderie feel somewhat lacking. In the original series, one gets the impression that these have been working together for a long time, a notion that this series dispels.
Of note is the supporting series "The Galactic Girl Guides" which is a "Li'l Rascals"-style strip that deals with Brucilla's childhood and attempting to join the aforementioned girl guides. While it is primarily comedic, it does feature character exploration, and worldbuilding, and supports the main narrative overall. It is also, if possible, even more irreverant and zany than the main narrative.