I got a passport the outside is bad but the inside is good will I get thru to jamaica

If it's just the outside cover you should be ok. As long as all your information on page 3 is legible

It's totally fine.

Yeah

As long as it is legible and valid with an updated photograph, you should not have a problem

Agreed. And as long as it does not expire within 6 months

As long as it's a current and legible passport.

You'll be fine