drain noise

Hi, everyone! I'm a new homeowner and this is my first time on the forum so please forgive any and all stupid questions. Recently my wife and I have noticed this tick/almost hollow burping sound after showering. We also routinely notice the click/click/click/click of what sounds like the pipes...

Had our kitchen redone (and all of the plumbing) 2 years back. We have a prep sink opposite the regular sink. In the the last few weeks I started hearing a gurgling noise coming from the drain on the opposite sink that is being used. Any idea what "generally" causing such noises? (side note...