Thanks for the advice! I have checked the lines, they are not clogged and even have blown air (by mouth). The air passes through the lines and into the washer tank .
I have also consulted with the Chrysler dealer, they have suggested it may be from the relay. Unfortunately, the relay for the washer pump is not marked and it is really difficult to know which relay is bad. I did swapped the relays A to B to A, but still have not been able to determine which relay is really controlling. It is a shame Chrysler owner's manual does not give any details on this relay.