Here's the update: once the old laptop was open and online, I made the changes for it not to sleep or hibernate. The iPad logmein app worked and made contact. Though it had a bit on a lag, I was able to make a connection.
However, once the laptop screen is closed the connection is lost. This is annoying because I don't want to leVe the laptop open all the time. Can this be fixed?
Most laptops are set to sleep when their lids are closed. You need to turn this off somehow. If it's a Windows laptop, the setting is in the power settings somewhere. On a Mac you need a utility program like Insomnia.