I am sorry but your setup though similar, is also vastly different than mine, both your router and ONT are different models. I am out of ideas as to what can be stopping your laptop going pppoe over the alcatel.
The issue shouldn't be the pppoe client, what version of Windows do you have?
I can do direct pppoe from my system no issues, remember my binatone router that airtel gave me is bridged but vlan tagged. I can also hookup directly to the alcatel ONT and used VLAN ID 1910 on my desktop and go online that way too. No point for me as the alcatel has a 100Mb port, will not make any difference in my case.