Try sending AT#NITZ=1,1 first
static IP address assignment look correct as long as your eCell is setup using NAT mode.
you can assign DNS = 8.8.8.8 and 8.8.4.4 instead of the LAN IP of the eCell
try perform some ping test to 8.8.8.8 or 8.8.4.4 from Arduino and make sure cellular internet is consistent without any timeout and long delay
check and make sure your arduino is setup with DHCP client and obtain IP address from eCell modem.
what IP address, netmask, default gateway and DNS are showing on your arduino