Going from Narita to Park hotel?

Iam arriving at Narita at 8.50 am. I want to go to Park Hotel at Shiodom. The Limo bus leaves at 8.50?? The next Limo according to the schedule is at 1300....Am I mistaken??

It seems that you are correct.

You will be able to go to the hotel via T-CAT(Tokyo City Air Terminal).
Many buses will go to T-CAT.
According to the official web site of the Park hotel Tokyo, the hotel is located approximately 10 minutes from T-CAT by a taxi.

use train then...

http://www.hyperdia.com/en/cgi/en/search.html?dep_node=NARITA%20AIRPOR...

Multiple direct services every 30 mins or less. Hotel is 150m from station.

N'Ex to Tokyo and then either local train to Shimbashi and walk or taxi from Tokyo (the walk - first time - from Shimbashi to the hotel is a bit confusing.)

I usually take the Keisei skyliner to Nippori and then take the Yamanote line to Shimbashi. Five minute walk in the subway station to get to the ground entrance to the hotel.