Experience tells me he lived in the US from 1902 to 1905 and that is why you only find a second arrival.The question asked is years or period of years.
They used the second arrival for a very simple reason and that is his first arrival would not have counted because when he applied they were looking for at least 3 years of living in the US continuously.His first arrival would not serve this purpose as he had left the country.
Polje (sounds like poiyah) means field. And it is likely the he was from Polje Ozaljsko as of the 11 MAJCUNIC 7 are found today in Polje Ozaljsko
This place would seem to be part of the Sveti Vid (St Vitus) Parish on Ozalj.Note my grandfather came from a tiny village about the same distance as Polje but the opposite side of Ozalj. These parish records have not been microfilmed by the LDS.However the Croatian government has them on microfilm at the State Archives in Zagreb, where I have researched my family.Options I can put you in touch with a good genealogist or you could join us in September for our Annual Heritage Tour.
Let me know and I can put you in touch with a genealogist.
NOTE the birth records in those days were in the form of a Baptismal Record.There was no civil registration until around the time of WW II.
Oh and in re to the age of 31 showing on the manifest.By law every male was required to serve 2 years of active military duty in the year when he turned 21... thus he would not have been allowed to leave so it appears that someone may have fudged his documentation for him. Robert Jerin Croatian Heritage Museum Cleveland Ohio email@example.com