Like someone suggested earlier, you may have gotten a lemon.
if a smartphone cannot handle some simple essential apps, then all Sony users would have returned their phones already. But no such news.
Like you say, the apps that you used were not even from some obscure and sketchy source/developer, they are widely used for god's sake.
So quite sure you had a lemon.
After you collected the replacement phone.
If you happy, you use it, Not happy then sell it.
It happen here and it happen everywhere.
I will never return to Sony.
I will never go back to Samsung.
I will not buy HTC again.
No more LG for me.
We all hear these before and alot of times.
Of course there are also praises for them all.
When Sony gives you lemons, you make lemonade. (and pour it all over their QC team)