Using those characters only/with out adding, replacing, or removing is my sentence structure and grammar correct?
一）我请你和我想一起听音乐。 incorrect - (it is either 请你和我一起听音乐 or 我想和你一起听音乐, ) 

二）我和我的好朋友昨天晚上去图书馆看书。 correct

三）哪里哪里，我写字写得很慢。 correct

四）我的妈妈常常说别看电影。 correct

五）白安觉得他来念书念得不错。 incorrect - (it should be "白安觉得他念书念得不错" 

'他来'念书' implies a 'suggestion' ; '念书念得不错' is a 'statement', the two don't mix )

六）他没听录音可是有课文预习。incorrect - (it should be 他没听录音可是有预习课文, [没听] is a verb, if it is followed by "可是有 but have" then the following must be another verb [预习], not a noun [课文预习])