I have an iphone 5 model a1428?

Like i said i have an i5 model a1428, and planning to have a vacation in the Philippines this year, can i connect with the local carrier's LTE?
smart communications - band 1/3/5 at 850/1800/2100 mHz
Globe telecom band 3 at 1800 mHz?

I wouldn't. That would incur heavy roaming charges, but it should work yes.