i dont think so a new modem will help at all... the linesman has answered your question... but if you have spare money you can give it a shot... i got a
TP-Link 8817, but i dont want to again get into an argument with the idiots... hence i am on the 8mbps plan but speed profile is 4mbps...maybe you can also stick to the same plan but ask them to reduce your speed profile.. i get 10hr sessions on 4mbps and its sufficient for loading 1080p videos with negligible buffering... otherwise 720p videos load with no issues on youtube...