@hms123 

If you look at your network connections you will be able to see if the TP-Link adapter is displayed there. If so, then the adapter or drivers installed correctly.

You should be seeing the same networks as the network adapter would not create a new wireless network. What is the model of the TP-Link adapter? They usually start with Archer or TL-WN.

Your router is ok, you will not need another router. If the TP-Link is connecting to your network for the first time you will be prompted for the wireless password. Try entering the wireless password you would normally use to connect to your network. If the window prompt for the password is asking for a PIN, there should be a small link to enter a network security key, click that and then enter your password.