I respecfully disagree. The critical path filter won't show task 1 because it is not critical... If something goes amiss, and you don't start task 1 on time, there is no affect on task 2 or on the project finish date.

Critical means that if it finishes late then some other task or the project finish date will be affected. Task 1 is not critical; if you don't start it until Tuesday, it won't hurt anything.

Critical does not mean that the next task cannot start early. It means that this task cannot get behind.

FNLT is Finish No Later Than constraint.
Instead though, add 2 days of lag time to Task 1. This should make it critical.