Another weird Wireless problem

Hi all: I recently posted here about my wireless indcator light for my HP Pavillion Laptop. Here's another weird problem. The other day, I had Verizon install FIOS. Seems great They gave me a new wireless router and I disconnected the old one completely. The Verizon tech installed the new wireless router and gave it a completely new name. Oddly enough, my old router name still comes up when I do a search on wireless networks. I can connect to it as well. Maybe a neighbor has assumed the name of my old router? Seems really odd. Anyone know what could be going on? By the way, the blue indicator stills goes out, but I still get connectivity (when iti si out) but slow. M