Should angels be worshipped?

No, absolutely not. No one or nothing should be worshipped except God.

"Now I, John, saw and heard these things. And when I heard and saw, I fell down to worship before the feet of the angel who showed me these things. Then he said to me, "See that you do not do that. For I am your fellow servant, and of your brethren the prophets, and of those who keep the words of this book. Worship God" (Revelation  22:8-9).