[Avodah] Yom Tov Sheni for Olim LeReget to the Beit Mikdash

[Shoshana L. Boublil]

I was wondering if there are any sources that discussed how Olim LeRegel 
from Egypt or Bavel handled the issue of Yom Tov Sheni when they came to 
Beit HaMikdash.

Was it an issue?

Are there any sources about people coming to Israel from Europe (Rome, 
Greece), for the purpose of Aliyah LeRegel during the time of Chashmonaim, 
for example?

Shoshana L. Boublil