Yes, it is a slang words in Filipino. And your phrases are correct.

Yes, your phrases are correct. nakaka~: is a causative prefix bato: means stone nakaka + bato = nakakabato (Literally, it means "something that causes you to feel/become like a stone.") (In the Tagalog, it does refer to "boredom over something.") (^.^)

Sometimes I wonder about the origin of the word "nakakabato". Could it be related to the american slang word "to be stoned" (i.e.-high on drugs or other intoxicating substances)?

"Nakakabato doon." is translated "It's boring there." "Nakakabato doon banda." is translated "It's boring over there." and you usually say this to point to a far place that you can see at sight.

Nakakabato ka kausap -_- ~ Talking to you is boring. Nakakabato dito sa bahay ~ Staying at home is so boring.