So, for the case i would personally go with the Corsair 200R because, it is clean, simple and reliable, the Zalman Z11 is big, looks cool but still, Corsair cases mean quality.
AM3+ doesn't have a MOBO with WiFi/BT built in so, you have to use an external, both the MOBO and the WiFi adapter cost about 80 GBP, if you want to go with a cheaper MOBO, there are but not for "gaming" if you don't want to do gaming, i can pick something else up.
So, here are the components:
Corsair 200R:
http://uk.pcpartpicker.com/part/corsair-case-200r
MOBO:
https://uk.pcpartpicker.com/part/msi-motherboard-970gaming
WiFi Adapter:
https://uk.pcpartpicker.com/part/tp-link-wireless-network-card-tlwn881nd
PS: could you please list me all your PC specs you have now (without the case/mobo)