Rear derailleur hitting spokes in 4 largest cogs
Your problem is the thick sheet metal derailleur 'hanger' is in fact badly bent. On cheaper model derailleurs the hanger is built into the derailleur rather than the frame.

Don't ride it in this state, the derailleur getting caught in the spokes will smash it and probably damage the wheel too. Also the chain may catch in the cage with similar results.

You should be able to take the bike to a repair shop and get professional and courteous service, no matter what bike you are riding. Your money is as good as anyone else's.

If you want to address it yourself, all you have to do is bend the derailleur back. If you turn the bike upside down (on something soft that will not mar the seat or bars) you can look down the line of the chain. The derailleur cage should be parallel to the chainrings. Hold the derailleur at the top, not by the cage, you don't want to bend it. 

You do want to be careful because the hanger will only be able to take so much bending before it get weakened.