I need some help from someone who is familiarize with Tokyo. I have the following connection this upcoming Sunday/Monday:

Arriving NRT at 9 pm, from Incheon
Departing HND at 1.30 am, to East Asia

I checked on the limousine bus website, there is no bus available at this hour between the two airports. Neither is the express train running at that hour. Does anyone know if I could make the connection? What should I be taking between the two airports?

How likely will the immigration be busy (like 1.5 to 2+ hours to get through as during the day)?

Thanks.