This is charming in a minimalist sort of way. Priests is a three piece outfit from Washington DC that draw some comparisons to The Gossip or Heavens To Betsy.
The vocals seem to carry the songs, soaked in reverb and way up in the front of the mix. The drums and guitar seem to stay pretty minimal and basic, almost to just provide a background to these vocal fits.
I probably wouldn't like seeing this in a live setting (due to it's minimalist approach) or listening to it for any long duration, but these two songs give you just enough of an idea of what the band is going for. Charming, moody and just enough to wet the palette.