Does the moon triton have a magnetic field?

Yes, Triton as a satellite has its own magnetic field.
Neptune I also commonly knoiwn as Triton is the coldest known astonomical body in the solar sytem. Triton is planet Neptune's largest satellite and is the seventh largest moon in the Solar System. The said satellite is a liitle smaller than the Earth's Moon. This moon was discovered by William Lassell, a British astronomer, in the year 1846 on the 10th day of October. It was 17 days after Neptune was discovered by Johann Gotfried Galle and Heinrich Louis d' Arrest. Triton has a complex history . It was beleived to have a young surface compared to the solar system's age.

Ithink they do have the same properties just in less quantities i think

Depending on how the continental plates move it can cause a continental scale shift.