I know many people have already stated they didn't care for the new style, so I'm probably in the minority when I say I like the new style over her old style (the original fake books). While the older one has a distinctive 80s or 90s feel the newer style seems more "contemporary" or "modern", though "updated" sounds just as good. I think the style fits in nicely with the new century, and with all that said, the artwork still has the wonderful Matoh-sensei influence we fell in love with. It doesn't feel like "a different artist", so make sure to check this new series out to find out for yourself. Who knows, maybe the style will grow on you? I never could get used to the older style artwork, so any preference over styles will lie solely within the beholder.
Also, the series holds true to the comedic feel of the original series, while still managing to balance out with its sometimes more serious and dramatic moments. I think that her new style, while at times may be "cartoon-esque" does well to enhance (or rather, doesn't distract) from its, at times, serious nature.
Plus, the characters, in my opinion, are much better looking (and hotter) - plus, I like how Ted and Drake (and JJ for that matter) are featured. Ted and Drake seem to have a slightly bigger role here, with their physical characteristic more detailed and personalities flushed out. JJ is just awesome anyways, but I do wish I could see more of his sniper shooting-skills.
While I wasn't a big fan of Bikky or Carol to begin with, the fact that the two actually -look- like children, and aren't so preoccupied with disrupting Dee and Ryo's relationship. Which, in the end, only leads me towards a more positive outlook on any extra screen-time they might receive in the future chapters.
Lets not forget as well, Dee and Ryo are actually -wait for it- TOGETHER. I loved how the first series took its time with this relationship, which I think made it more "real" instead of the instant-lovers formula that sometimes seems too common now.
So far this series gets ten stars from me, as I personally do enjoy (a whole lot) this fresh take on the series continuation. I hope this manga runs for as long as her other one did, because I see lots of possibilities for its future. Plus, I do enjoy a nice Police inspirited manga once in a while - mystery solving, murder investigations, guns, the "day to day" work routine. I'm just glad Matoh-sensei didn't take her police-crime fighting inspiration from those police-based reality shows on TV.
Keep the series coming, Matoh-sensei! I love your work!