Very good! That is exactly why Na and Al don't match.
Actually, I misspoke. We need to see the 5th ionization energy to distinguish between Mg and Si honestly. If we see that the 5th energy is much higher than the 4th, then we can conclude that after 4 electrons lost, the resulting configuration is very stable (this would be Si). If we saw that the 5th one was similar to the 4th one, then we could conclude that this was Mg (although, there might still be a larger increase due to it being 2p3, which is half-filled).
However, regardless of all that, you understand the process that you would use to distinguish between different elements. If you understand the concept (which it seems you do), you should be ok. If your professor gives you a question that requires the use of values without giving you them, then he's an ass
.
Unless I'm missing a distinction between Mg and Si...