It looks like some parts of the video were recorded in my country. http://caracol.com.co/m/emisora/2017/03/17/tunja/1489773402_413044.html (The article is in spanish)
Nope. Not at all. Not by tempo, not by style, or structure. They are pop songs. BS has a late 90s-2000s pop vibe whereas Heavy relies on modern hip-hop/rnb and old school soft-rock.
Both heavy and battle symphony are catchy songs, but lack quality for the longer period of listening. I hope some tracks on the new album will be growers like the catalyst, little things give you away, etc.