Each of these is a twist on the two-digit year field. But, the Y2K problem goes beyond just the year field in data entries.
Dates can also play a role in the execution of applications software going beyond data entries.
Dates can also play a role in operating software where the computer operator does not see the date. A number of other, similar problems exist. Nor is the potential for trouble limited to mainframe and desktop computers. Many kinds of equipment come equipped with built-in computers and the programs run on them may include date information in which the year has a role. The answer to both questions is that, yes, you may have liability.