Gold is about shining and light.
It is incorruptable, it does not change or corrode.
It is of great value.
It is about royalty, in many ancient cultures it was reserved to kings and gods
It is connected to anointing, a crown marks the place where a king is anointed.
Frankincense is about worship.
It is sweet smoke symbolising prayer and oblation.
It was used domestically but primarily to honour gods.
"Frank" here meaning pure, not "French", of course.
Myrrh is a sweet resin, that could be burnt as incense but was often mixed with oil as a perfume or medium for annointing.
It was used to mummify bodies in ancient Egypt, it was taken to Jesus' tomb by the women.
Myrrhon is the Byzantine equivalent of Chrism.
Its presentation to Jesus is presumably a reference to His being the Anointed One. the Messias or Christ and to his immortality and regality.
The Star: rather than a comet or any other mysterious star could it be the sun, heralding a new age, like "the Dawn from on high"? Is this a reference to "ad orientem" worship?