I'm having trouble locating the backups. I installed 3CDaemon TFTP. Started the server. When to cmd and log in to the switch. enabled it, typed: copy running-config tftp: then clicked enter. entered ip address of my computer, entered filename. Where does it put this file? I'm missing something...
One thing I notice is that the new switch is hard coded for speed and duplex but the router is not. From what you posted from the router I am guessing that it is set to negotiate speed and duplex. It can cause problems on a connection when one device is set to negotiate and the other device is hard coded. I suggest that you change the switch to negotiate
no duplex full
no speed 100
You can do show interface gig0/1 and see what it says about speed and duplex. Hopefully it will say auto or negotiated. (and in fact it may negotiate for Gigabit speed which might improve performance).
In your testing it is probably less important whether you can ping the switch (especially if you think that something might not be right in configuring the address on the switch). I would start testing with the command show cdp neighbor. CDP is a Cisco protocol and if the uplink is working and connection is established then both devices should see each other as CDP neighbors. If you see CDP neighbors it is a sign that the uplink is working.
Good luck in the morning.