As someone who is very critical of Charlies bullpen management, I will defend him on this one. Borucki failed at getting both Nimmo and Conforto out, which set up Alonso to be the tying run. He was able to get Smith out but by then the damage was already done. Barnes vs Davis is a decent matchup - a power right handed K arm against a right handed hitter who K's a lot. If Barnes was able to get Davis out there, I would presume that Mayza starts the next inning. However, O'Nora missed two obvious strikes against Davis and then Barnes was unable to rebound from that. I think Charlie made the right moves - they just did not work out.
Edit: pitches 3+5 were called a ball for reference