Once the water pump is off, there really is no way to check it or the rest of the cooling system. Water pumps are a wear item. They certainly leak with use and age. Buy a new pump, put it on and retest.
If the leak remains, it might be the timing cover or gasket. That is more work, and it would be silly not to address the loose timing chain that you will no doubt find once in there.
-The water pump may come with a new pipe. Any chance of a pic?
If the leak remains, it might be the timing cover or gasket. That is more work, and it would be silly not to address the loose timing chain that you will no doubt find once in there.
-The water pump may come with a new pipe. Any chance of a pic?