The Cheat mod options are
optional in the game. You can either bypass or play as normal. Only the very first football match is bypass automatic, will change it to optional in next update.
The unofficial bug patch fixes all/many of those problems you mentioned. The babysitting was removed by the dev, and I just didn't bother to add it back because it is a side quest and not important ATM. I will add at a later date depending on the next update changes. Carol entire quest line is broken and removed. The unofficial bug patch restores and fixes this. I suggest you look at the fixes section in the unofficial bug patch to get an idea of some of its fixes. Additionally all you need to backup are the "data" folder and "js" folder, not the entire "www" folder. This should be far easier in terms of speed and space. However, if you do get a NEW bug that wasn't fixed, please let me know with a save file, so I can fix. Top of the unofficial bug patch post has instructions on reporting bugs
Have you tested the game 'without the bug patch' and 'with it'?
I assume you meant to say, why there is no Carol picture
without the bug patch. This is a bug in the main game that the bug patch fixes. Also it should be noted that the entire Carol quest line is broken in the game. The bug patch fixes this. As for the requirements for Carol picture, it would only appear when you finish the history exams stuff and the game say Carol is open. This is suppose to be normal gameplay thats was intended originally by the dev.
Additionally, from your screenshot, are you are using the scene viewer mod? Please note this mod is not compatible with the unofficial bug patch or any of my mods. Plus it causes game breaking problems in people saves (if they saved when using) that can only
be fixed by starting a new game without the mod install. I suggest you use that mod on a separate copy of the game and not on your main save game. In other words, have two game folders with the game. One only for the scene viewer mod and another only just to play.
You can send me your save if you feel you tested and still getting the problem. However, don't send me it if you using the scene viewer mod or have in the past using that save. Unfortunately, nothing can be done by anyone, you will need to start a new game.