(a) The Kohanim rejected the Bechoros that ben Antinus brought from Bavel to the Beis-Hamikdash (see Tos. Yom-Tov) ...
(b) ... due to the Pasuk in Re'ei "ve'Achalta Lifnei Hash-m ... Ma'asar Degancha ... u'Vechoros Bekorcha ... " - from which we learn that Bechoros can only be brought from the same place as Ma'aser Dagan (see Tiferes Yisrael).
(c) They turned Yosef ha'Kohen back when he brought ...
1. ... ready-made wine to the Beis-Hamikdash as Bikurim - because when he picked the first grapes, he did so with intention of bringing them as grapes (see Tos. Yom-Tov). Had he had in mind to bring them as wine, it would even have been permitted to do so (as we learned in Terumos with regard to wine and oil).
2. ... his young sons to Yerushalayim to bring Pesach Sheni on the fourteenth of Iyar - because whereas young children are Chayav to perform the Mitzvah of Re'iyah on Yom-Tov and to bring the Korban Pesach when they go, they are Patur from Pesach Sheni.
(d) Even though there is no harm in bringing a voluntary Shelamim - they nevertheless turned Yosef ha'Kohen back - in order not to set a precedent, because they were afraid that people would think that it is obligatory.
(a) The Kohanim accepted the Bikurim that Ariston brought from Apamya - in Syria, because the Chachamim gave Syria the Din of Eretz Yisrael in various regards (as we already learned earlier).
(b) The Chachamim declared that someone who purchases something in Syria - it is as if he had purchased it in the fields and villages of ('be'Parvar') Yerushalayim'
(c) They would not however, have accepted Terumah, had he brought that from Syria - because they were afraid that if they permitted the Terumah of Syria to be brought to Eretz Yisrael, the Kohanim of Eretz Yisrael would travel to Syria for it (see Tos. Yom-Tov).
*** Hadran Alach 'Sh'tei Nashim' u'Selika Lah Maseches Chalah ***
On to Orlah