Wow, really difficult to discern the suspect noise. This said, direct injection engines can be noisier than one is accustomed to, especially thin-wall all-aluminum powerplants.
The popping noises your hearing is normal turbo noises. The intake system recirculates boost pressure and the waste gate will open to reduce the pressure that the turbo is making. All in all it goes right out the tail pipe.
The pinging noise in your second video could be due to low octane fuel, are you running 91/93? It could also be some noise from the electric motor and clutch assembly. BTH I wouldn't worry too much about it unless you feel like it's getting louder or causing a performance issue.