Unfortunately, girls are fickle, and you'll have to give them special presents wrapped in their favorite color wrapping paper for them to even consider hanging out with you.
The rest of the game is almost completely devoid of interactivity, so it's a shame that the only mode with any potential is only entertaining for a few minutes.
Your third option for "activity" is probably the most ill-conceived element of the game: the relationship system.
Since all the DOA girls on New Jack Island are on vacation at the same time, you can try to form relationships with other girls by "partnering up" with them.
If you want to do something a little more interactive than just looking at pre-rendered cutscenes, you can play one of Dead or Alive Paradise's mini-games.
The mini-games in DOA Paradise are basically identical to the ones in the Xtreme series.
There's beach volleyball and pool hopping mini-games to play during the day, and a blackjack game you can play during the nighttime.
The three total mini-games really aren't that fun, and if you have played Xtreme, you'll be quite disappointed.
Although the "Venus Clip" feature certainly sounds like it might be something exciting, it just makes the camera swing around the subject so you can take pictures.
However, since you have no control over the character, it can be difficult to get a good picture, and can make it frustrating if you are trying to take a picture and your character suddenly walks the other way or sits down.
The only real plus to the exploration mode is seeing your character bounce around for a few seconds.
But, it is so short-lived that I doubt players will come back to this mode more than a handful of times.