>> Hmm, this isn't going to work at all, is it?

Depends what you mean by "work".  Seems like the two input pins on the IC 
are actually tied together (to the top side of the resistor), so it's just 
going to work like a NOT gate.

Did you also do the calculations to check that it's ok to use a single 360 
Ohm resistor with those two LEDs for every combination of output states?

> Would it work if each switch had a seperate resistor? Or does that not fix 
> it?

Dude, really, you are going to fall over yourself over and over again if you 
refuse to learn at least some basic analogue circuit electronics.  You must 
have realised by now that even to implement the simplest logic circuits you 
absolutely must have some basic level of understanding.

Also try to draw your circuit schematics the same way as others do (you will 
pick this up automatically whilst you learn about them, eg ICs like this are 
usually drawn vertically, not horizontally).  Others will be more likely to 
help you if they don't have to spend time deciphering which wires are 
connected to what.

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