Yes, you'll eventually get most of the versions of the game EVENTUALLY. I think at some point in the future, my publisher would want me to stop updating the free version as so it acts more like a demo for the full release though.
As for H-scenes, the scene animations are what you get. The assets and how we animate it is kinda formulaic so changing it means changing 2 years worth of that content. So no, we're unable to make it smoother. I also tried different like transition techniques on renpy but it just looks blurry and gave me a headache.
The beach and birthday events, if the characters are not inviteable, you'll need to take them out on more dates and level them up. If you're inviting the right girls and doing the event story but at the end, there's no sex scene, it's because your outfit might not be appropriate.
The stocks feature, basically buy low sell high. Markets only open in the late morning and only some stocks are available to trade in on differet days. This was done mainly to deter save scumming a fortune.