Get into the Console/CLI and type show run. Make sure that the interface that your connecting your PC to is on the inside interface (not the outside). Then make sure that it assigned the ip 192.168.1.1 as you said above. Ultimately, get to point were you can ping 192.168.1.1 from your PC.
Then type the following on ASA console:
http server enable
http 192.168.1.2 255.255.255.255 inside[/code:1]
Replace 192.168.1.2 above with the IP of the your PC. Try now to connect to https://192.168.1.1 again.
Note: The outside interface can work too but it might require an ACL.
I've read through the booklets that came w/ the router and still am not clear how to log into the router. Is it through a normal ethernet cable, or ONLY through the blue 9-pin/ethernet cable that plugs into the console port?
I have located a computer that has the 9-pin console port. What do I do to log into the router, now? Do I have to install the ASDM software from the CD?
If I understand that maybe I'll be able to make better use of your instructions.
The CLI (command line interface) is through the console port using that blue cable that came with the router. Connect the 9-pin side to the PC and the other side to console port on the ASA. Then follow this video:
Note: he uses COM1 port, it could be another port on your PC, just try several ones until you catch the right one.
To use ASDM you then need to connect them through ethernet. But I suggest you do CLI/console first.