Need help with making a LAN connection.

Ok my problem.I have a Switch,2 Cat 5e crossover cables, and im trying to connect two computers.On one computer I have it set up a LAN connection but I try on the second one I go through the network connection wizard then after im doing it doesn't make a connection, Example if Im making no sense.Computer one i goto my network connection and I see LAN or High Speed connection.Computer two I goto network connection and see nothing.Ive got both computer connect to the switch and theres lights are on,the computers and the switch, but there not like connecting.I dont know but its wierd.

 

Also, I just turn off the computers when I turn them off.Computer one(the one thats has the LAN connection)the light went off.Computer two(the one thats not working) the light stayed on, I turn them off at different time like i had computer 1 on when computer 2 was off. And I had computer 2 on when computer 1 was off.Could this mean Computer 2 is trying to talk to 1 but 1 just not responding????Im confused!