Welcome to our Forum, darski.
I split your post into a separate topic because I feel your issues warrant some discussion and perhaps you can get some assistance.
Can you give us some more information? You said you recently bought Sims 3, so I assume you're a new player. Hopefully, your game is actually working fine and we can help you learn more about how to play it.
The first thing I'd like to address is the General Store in Shang Simla, China. You say there's no second floor, but exactly what are you doing to find it? When you're at the market, you arrive on the ground level and can access the book store, cafe, and relics store. On your user interface (the control panel along the bottom), you'll see a set of up and down arrow buttons located to the left of center. If you click the up button, you'll be able to see the upper level and the General Store, which is to the immediate right of the Relics Store. Now you can purchase martial arts equipment, one of the cameras, incense burners, tents, and other items. If these steps aren't working for you, exactly what do you see and what happens?
For sparring, you need to click on another Sim for the interaction. I believe the spar interaction is found under the Friendly button. You should definitely be able to spar with anyone at the martial arts Academy or anyone you find wearing a martial arts uniform. If you're doing this, what exactly do you see? Is the spar interaction completely missing? Is it grayed out?
Collecting in World Adventures works the same as when your Sim is in his/her home town. When you see a rock or butterfly, click on it and you'll get the option to Catch or Pick Up or Collect. Again, if you're already doing this, what happens?
When your graphics seem to get stuck, try a global reset: Press Ctrl+Shift+C to open the cheats window, then type "
ResetSim *" without the quotes, then press enter. That will reset every Sim in the game and often helps it all to run smoother.
I sure hope we're able to help you enjoy playing World Adventures.