I'm thinking of lying to friends & family about having a job. I'll get up early every morning to go sit in the library until 6pm
That's a lot of effort. Are ashamed of not having a job?
Yes it's because I'm ashamed that I got fired from the job
Just tell the truth, it is wrong to lie to your family. Take responsibility for your actions.
They don't care about me and I don't care about them
I bet that's not true. Tell them the truth, and you'll probably see that they really do care about you. They won't want you sitting by yourself in the library all day.