everything's fine with XiaoXiao's correction, just the first sentence:

sounds wear/Suggestion/Misc.

my dear friend asked me (introduce)(/list/suggest) some good songs,...

list(/suggest) your favoite songs

Let me introduce you to favorite rock-band...or my mum and dad..hehe;P

i capitalized heard some good songs.

my dear friend asked me to introduce some good songs, i said, i do did not hear  listen to songs for a long time, he said 'how come, so sad', commas and periods go inside quotation marks then he told me some, i heard listened to those songs last night, they are all great. i really like them. For example, a songs named 'demons' by Imagine Dragons, the band is cool, 'Radioactive' is a also a good song.