You've been writing songs but haven't had any luck getting them recorded. Your songs are not bad so you wonder if you are doing something wrong. This is a topic that cannot be addressed in a single blog but we will take a look at one piece of the puzzle Facebook.
Yes, not only should you have a FB timeline but you also should have a Facebook "Like" Page. People go to "Like" pages for information, services and products. Your Timeline alone is not enough.
FB has many recording artists/bands that are looking for great songs. Some publishers and A&R will look though the "Like" pages but rarely do they look through the timelines.
There are tons of social sites where you can promote your music and Facebook "Like" Pages is a good start. Good Luck !