Have to turn on-off mobile data every now and then so that mobile data works!
You mentioned that you are rooted, just try editing your build.prop file with Internet tweaks. It might help. You can get various build.prop tweaks here. Have a look..
Collection of build.prop tweaks

Relevant tweaks (11 and 12) for better 3g/internet speeds from the link:


  
  Signal (3G) tweaks
  
  Code:

ro.ril.hsxpa=2
ro.ril.gprsclass=10
ro.ril.hep=1
ro.ril.enable.dtm=1
ro.ril.hsdpa.category=10
ro.ril.enable.a53=1
ro.ril.enable.3g.prefix=1
ro.ril.htcmaskw1.bitmask=4294967295
ro.ril.htcmaskw1=14449
ro.ril.hsupa.category=5

  Net speed tweaks
  
  Code:

net.tcp.buffersize.default=4096,87380,256960,4096, 16384,256960
net.tcp.buffersize.wifi=4096,87380,256960,4096,163 84,256960
net.tcp.buffersize.umts=4096,87380,256960,4096,163 84,256960
net.tcp.buffersize.gprs=4096,87380,256960,4096,163 84,256960
net.tcp.buffersize.edge=4096,87380,256960,4096,163 84,256960