The reason I ask about a firewall is I doubt you have outbound protection and whilst most hardware firewalls have good inbound protection almost all don't have any outbound protection. This could stop whatever it is that the ISP finds suspicious.
Any malware that manages to get past your defences will have free reign to connect to the internet to either download more of the same, pass your personal data (sensitive or otherwise, user names, passwords, keylogger retrieved data, etc.) or open a backdoor to your computer, so outbound protection is essential.
- Zone Alarm free
http://www.zonelabs.com works fine with avast and has a reasonably friendly user interface. There are others, Comodo, Sunbelt Kerio, Jetico, etc.
See some firewall tests for comparison, some are freeware but many are paid for versions
http://www.firewallleaktester.com/tests.php. Also see
http://www.thefreecountry.com/security/firewalls.shtmlI would have expected the ISP to say what activity that it finds suspicious/unusual, not simply make a sweeping statement 'unusual activity', ask them what it is that they find unusual and why.