thanks for posting the details! You may try the following command to set the card profile (according to your DEBUG info this is already set correctly):
pi@max2play:~ $ pacmd set-card-profile bluez_card.99_99_22_00_13_48 a2dp
Can you double check your Squeezelite Settings on Audioplayer tab: the Soundcard must be set to PulseAudio! I just saw in your first Log, that there was no Sink-Input available. If you did not restart the device yet – please also try this.