We were returning from a vacation with my family where my daughter and son in law took us as a 50th anniversary present. Our plane arrived in JFK on time and the pilot asked that all passengers remain seated so that 25 of us with connecting flights could leave first. he said that someone would meet us to expedite the process, no one was there. We waited 45 minutes because there was n o gate available to use. When we finally deplaned we went through customs very quickly. Then we had to get our checked bags where, which I couldn't understand, since they were checked through to Boston, our final destination, where we waited another 40 minutes and customs did not look at them. There was no one again from JetBlue to help us along the way. We had to race to security. When we got there there was a long line, even in Pre-Check, and security told us the only way we could get through quickly was if some JetBlue personnel were there to help. Surprise, no one was there or had been seen all day. We finally got through and raced to the gate to find the doors closed, even though the captain had sent a request for them to hold the plane as there were approximately 20 people trying to make it. Again, no JetBlue agents were anywhere to be seen. The plane did not leave for another 35 minutes, leaving us all stranded. We were told to go to the "Help" desk at that point, and what we got there was less than nothing. After waiting in line for another 30 minutes, we finally got to the only person there and by her attitude we knew we were in trouble. She said we would have to wait two days for a flight and when we asked where we would stay, she looked at us and said it was our problem. We asked if she could help us with a car rental and again she just shrugged. A few minutes later she looked at her watch and said she was off duty and got up and left. Another person came in and we had to start all over again and he was less help than she was. Another person who also missed this flight told us they booked a Delta flight the next morning online, so I did the same, at a cost of $618.00. We had to stay in the overnight with no food since it was already 10:30 and nothing was open. we finally got out the next morning on Delta and got home 26 hours after we left Turks and Caicos. This was the worst flight experience I have ever had and I can remember when Eastern had the shuttle to New York for $21.00 each way as I flew on it. There is no excuse for the terrible attitudes of your people toward your customers. If they are going to work for you, they should do their jobs or quit and be replaced. For the plane to stop boarding even though they knew there were 20 people coming from a delayed plane was deplorable and not having any personnel to help along the way is inexcusable. Either you do things the right way or you get out of business. This was a very ugly way to end a glorious 50 wedding anniversary trip that was a gift from my family who now feel guilt about everything.