How to use 2 serial port when WifiEsp library uses one of both
The esp8266 AT firmware doesn't wait until you listen on the SoftwareSerial instance. If there is a connection to the server it sends +IPD and data. If the SoftwareSerial instance doesn't listen the information about client connection is lost.

You must listen to esp8266 all the time, so you can't use two SoftwareSerial instances. 

You could use the RX pin of Uno to received data over hardware Serial, if you only receive on DataPort and only print to SerialMonitor.