A lot of batteries die around the 1 year mark, most are warrantied for 1 year....you'll see a lot die right after the 1 year warranty expires, it sucks but that's life.
I can't tell you much about your LCD problems, post some pictures if you can. How do you use the notebook? Where? etc. are you sure you're not causing the problems....are you sure the LCD was even switched out when the notebook went in for repair.