From what I read on TIGO, they are using gsm only in Honduras now ( and shutdown cdma ). If this is correct I don't think that data will work on s3. Tonight I will do some more research and see if I can learn more.
But until then it maybe worth changing the network settings? To gsm or global.
Cruzin' tha Galaxy SIII
Verizon Samsung Galaxy sIII - ROM Synergy nightly (awesome)
Thunderbolt - ROM SynergyRom (WOW) Thanks Virus & Everyone
Incredible 2 - ROM ? Wife (changes mind daily)
Viewsonic G Tablet - ROM Vegan Ginger
retired HTC 6800 Alltel (Verizon)
Thanks Dev's & All Who help make our devices (toys) so cool.