Reasoning Behind Placement of Various Components in Radio Receiver Circuit
C10 prevents the loopstick antenna (which is an inductor, so it has no DC impedance to speak of), from shorting any DC bias on the AMI pin to ground and stopping the AM receiver input stage from working correctly.

The C13/L1 HPF has a -3dB point around 53MHz.  This filter prevents strong shortwave signals (&lt;30MHz) from overloading the internal FM LNA, while B1's high impedance at VHF keeps strong FM signals from overloading the SW LNA stage (Q1 + associated passives).

C1 and C2 are AC coupling/DC blocking capacitors on the audio outputs.  They keep DC from being propagated down the audio amplifier stages and to the speaker, as speakers don't appreciate having DC stuffed down their throats.