365 kb/sec converts to 0.356 Mbps which is poor on your 30 Mbps line. Re-check the download speeds on your old laptop and I think it will be the same. Another speed checker to compare, Thinkbroadband.
Sounds like it could be a router, filter or an ISP problem. Check your telephone for 'crackling' noises and also try a router reboot. If you have a spare filter/s then change that. If still no good I'd contact your ISP again.