Why won't my iphone let me connect to any my apps?

I had to get a replacement handset because my old phone was acting up but now its doing the same thing again, it says that my 3g and my Wi-Fi is connected but its not letting me connect to facebook instagram snapchat etc it says that there's a server problem? Can I fix this myself! Getting very frustrated!

Added (1). I have done all the power off and resetting my phone.doesn't work…

Power off your phone then reconnect to your Wi-Fi network

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