If you're trying to connect via wireless with laptop #2 and the info you posted is correct, I would check to see if the wireless adapter is either disabled in device manager or if there is a manual switch somewhere on your laptop #2 that has it turned off.
BTW ... you don't actually show the wireless connection info, just your ethernet - hardwire connection, which shows its not physically connected.
***Congratulations on your success on fixing the issue.***