Connectivity in Negril - Lime vs Digicell?

[Jamadian]

I'm new to all this phone stuff so forgive my ignorance....but I have an old Verizon LG flip phone.
1. If I get it unlocked here, can I take it to Jamaica and take to the Lime store for them to make it a "Jamaica phone"?
2. If answer to #1 is yes, should I get it unlocked here or in Jamaica?

You need to have a sim card. We had our IPhone unlocked last year by a fellow in Negril. He's right beside Burger King in the mall above the Digicel shop.