Help deconstructing parts of 點唱機 - 按年份後，當年的流行曲就出來了，一按即點
按 (verb: press) 年份 (noun: year) 後 (after)

當年 (noun: that year) 的 (possessive particle) 流行 (adjective: popular) 曲 (noun: song)* 就 (will) 出來 (verb: appear) 了 (end of action particle) 

一 (adverb: upon) 按 (verb: press) 即 (adverb: immediately) 點 (verb: select)

* note: 流行曲 (流行歌曲) means "pop songs".



Regarding 點唱機, when you break it down the phrase becomes 點 (verb: order [as in ordering a drink at a bar]) 唱 (noun: music, song) 機 (noun: machine, device). From that, we can deduce it is a jukebox, since you normally can't order music on a radio or musicbox. It helps to know that radio is 收音機 and musicbox is 音樂盒, but unfortunately there's no shortcuts around that.

Note that 唱 is far more commonly a verb.