Multiple Selected Portraits/Can't Click on my sim, Computers, Cellphones...

@J00J_11  It sounds like your save is somewhat corrupted.  Whether you can fix it will depend on the level of corruption; mods can help, but there's no guarantee they'll work either.

The first step is to delete the five cache files in your Sims 3 game folder in Documents\Electronic Arts.  They should be deleted regularly anyway, as they tend to fill up with stale data (and corrupt data, if your save is having issues like these).  While you're troubleshooting, delete them every time you quit the game.  For reference, the files are:

• CASPartCache.package
• compositorCache.package
• scriptCache.package
• simCompositorCache.package
• socialCache.package

Load your game, evict your household, and save a copy to the bin.  If you want to keep their house too, save it separately, as an empty lot.  This is just in case the save can't be recovered: at least you'll be able to place your sims in a new world and keep playing them. 

Without mods, the most thorough reset is to evict your sims in Edit Town, save the house to the library (if you haven't already), bulldoze the lot, place the house again, and move the sims back in.  If you do all of this in one Edit Town session, without replacing the household with its bin copy, the sims will keep their jobs and relationships but lose their promised wishes and opportunities.

After they're moved back in, go to live mode and use "Save As" to rename the save, so the earlier save is preserved as a backup in case something else goes wrong down the line.  Then quit to desktop, delete the cache files again, and reload.  Let me know whether the save plays any better.

By the way, it's not a good idea to exit to the Main Menu and reload.  The game has an issue where not all the data is released from RAM, so going right back into a save means that data comes with you.  It's much more likely to cause problems when you're changing saves—you can see all sorts of weird things happen, like the ghosts from the previous town's cemetary living at the junkyard in the new town.  But it's still best to clear everything by quitting entirely before reloading the save.

...okay. I just got back to the main screen and THIS happened. I hope I didn't screwed up the game. 

@J00J_11  Even if that save is corrupted, you still have the backup and can try again.  But it might load okay.  Still, if I saw that, I'd repeat the process of evicting the household and moving them back in, just to be safe.  There's no harm in doing it twice in a row.

Edit:  If you're using NRaas mods, hopefully that includes ErrorTrap, Overwatch, and MasterController.  You can try an MC reset of the whole town, which will be more thorough than anything you could do without mods.  (The eviction process does catch a couple of things that MC can't though.)  Click on City Hall and select NRaas  > MC > Town Options > Reset Everything.

@puzzlezaddictOkay, so: the Reset Everything option didn't work, so much that when I entered the house, I already couldn't click my cellphone, my sim, and even the floor, so that's one down. But I have a question: when I bulldoze the lot and put the house back again, I should put the family there is in the bin, or the one that is in the moving area (I think that's how you call it)?

@J00J_11  The fact that the MC reset made things worse is not a good sign.  At this point, I'd add ErrorTrap before doing anything else.  It cleans up all kinds of corrupt data (without your having to change the settings), and it sounds like your save really needs that.  Be sure to get the version that works with your patch level: 1.67/disc (or Mac), 1.67/Steam, or 1.69/Origin.

When you move the sims back in, you need to use the copy that's sitting on the clipboard in the upper left corner.  If you move in the copy that's saved to the in-game bin, they will act as brand-new residents, not knowing anyone except each other.