While this OVA is a sequel to a movie, I honestly feel the viewer doesn't need to watch the movie to understand the OVA, yet this might end up being the best route given the issues which cropped up in the movie and how the shift in producers between the movie and OVA resulted in actual improvements.
I love the fact the sequel relies a lot less on references to other series and relies a whole lot more on being it's own thing. The wacky humor is more in line with the wacky humor we see in other shows of the crackfic genre which are successful in that while the audiences willing suspense of disbelief is pushed in an unexpected manner, they still end up being believable.
All three girls instead of the main protagonist A-Ko end up getting fleshed out, as do a few side characters such as the teacher and Mari. Some of the issues remain, though this comes down to the fact the show is definitely relying on what's previously established in the movie as canon, yet the in your face negative LGBT subtext which pains lesbians in a bad light isn't there, although in some ways this can be seen as a miss for those looking for LGBT rep.
Even the art and sound has improved, but the biggest deal - you don't have to watch the movie to actually understand what is going on.