Ecash is online not offline.
Sender does not need to be online, receiver does to prevent double spending
Correct
Here's what an offline payment looks like. https://imgs.search.brave.com/trTZK4LrnCXddsSoniYAmeZV34nhLz_TVGYeTJIpor8/rs:fit:860:0:0:0/g:ce/aHR0cHM6Ly93d3cu/YmFua3JhdGUuY29t/LzIwMjAvMDYvMDQx/MDQ0NDgvOC1vZi10/aGUtbW9zdC12YWx1/YWJsZS1jb2lucy03/LmpwZWc