As far as I know 'T' is 'silent' in American English in the following examples...T and N are so close in the mouth that the [t] can disappear.

interview [innerview]
international [innernational]
advantage [ædvæn'j]
percentage [percen'j]

*If the T is at the end of a word, you almost don't hear it at all.

put, what, lot, set, hot, sit, shot, brought.
That's quite right, isn't it?

*Guess that's what happens with the word 'resT(s)' in the song you've mentioned...

Let's wait for some more information.