How should I deal with a DST file that cannot be played?

Use a software to convert it to DSD.

Can I use a quick charger to charge the portable products?

Yes, but the charging won't be faster.

How should I deal with a highly-compressed APE file that cannot be played?

Use a software to convert it to DSD.

How long should I burn in an aune product?

Use a software to uncompress it to WAV.