JFK International Airport

Yes, there is a bus called State Shuttle(http://stateshuttle.com/).
It comes every hour, it costs $30 per person. You can reserve it at Ground Transportation counter(Welcome Center)in each terminal.If the party going to Newark is 3 or 4 people it is more efficient to take a yellow cab. It will be on the meter(around $90-$100) for the whole cab.
JFK_E

Hi Bigenger,
Here are some of the ways to get to the hotel - you decide which one is the best for you:
1.Taxi will cost you flat fare of $45+toll($5.50)for the whole taxi.(~35-45 min)
2.There is shuttle(look for it at Ground transportation counter or Welcome Center) that goes to any hotel in Manhattan for $18.50 per person.(~50min-1:15min)
3.Take Airtrain from any terminal on track 1 to Jamaica Station( be careful - on that track there are two alternating trains going to different routes; check the sign above the doors as the train arrives; the red colored sign is Jamaica one). Take subway E to Lexington Ave stop.At Lexington Ave stop transfer to subway line 6 going downtown to 28th street stop.It will cost you $7.25 per person.(~1:15min-1:30min)
The hotel is located two blocks walking distance at 30th street,between Park Ave and Madison Ave.
JFK_E

The time is not enough - you have to clear customs and transfer terminals which will take roughly 50 min. Delta will close their flight by that time.
JFK_E

Let us have more details about the employee - what company she was working for or what kind of position she has. JFK Airport does not have general HR department. Each separate company at JFK has their own HR department.

JFK_E

Given the fact that you have the suitcases probably the public transportation is not the best way.
Taxi or private service will be your next best option.
As per http://nyc.taxiwiz.com/ :
"That cab ride would cost about $70.10. That is roughly $81 with a 15% tip. It is about 32.0 miles."
Let us know if you consider public so we will tell you the best way.
JFK_E