Help with building a system for a friend

I'm new to the forum and at building systems, and as the title says I'm going to be building a system for a friend of mine who has a budget of £500.

The system:

He will also be buying a case from another friend of mine for £70 bringing the total spent to £490.97. The case:

If there are any improvements I can make and especially if you spot any incompatibilities or anything that I have missed out please let me know, cheers.

does your friend actually need the wireless card?