I would not call Eli a point-and-click game. There is no inventory and no "apply X to Y" puzzles. There are some very light social puzzles. For example in the beginning Eli is asking Hannah about her view on Finn, but Hannah does not want to share this information because "[She] don't want to talk about Finn with any stranger.", and at the same time there is the opportunity to do the homework with Hannah - so the solution is to do the homework together to get closer.
The finished game has much simpler social puzzles than I had first planned for, necessary to put the characters and the story in the first room. The game is probably more open than some visual novels though.
The theme of the game is 'Power' (as in power between individuals). It is set among children, which are great because they can be less inhibited before their morale develops. So it gives the opportunity to explore what power means.
Yes, there are two character cards for Eli, depending on where you are in the game.
If you would like to give the game a try, please PM me and I will send you a link.