Lord of the Rings - thanks for your help too.
I will check for firmware updates on the Linksys router to see if that can improve performance. Yes, Shareaza was open at the time of the connection tests. But I'm sure these ideas will help someone else reading this thread later.
Thanks for the tip on the firewall clashers too. I only plan to use Windows Firewall when the Norton firewall free trial runs out. Until then, it stays off.