Originally Posted by Dave Noble

POS can make a difference, but I did look at an Australia point of sale ; it is possible that EF is incorrect in E class being used for awards, but based on it being accurate, there seems to be plenty of availability with both US and AU points of sale. for 17-20 June the non stop service from JFK shows available as well as the EWR-JFK service

Perhaps the OP might make a telephone call and see whether EWR-TLV is available