You have the right to respond to your evaluation. Give it a few days and re-evaluate your feelings, then sit down and write a response and ask to have it attached to your eval. That is perfectly acceptable.
Also, ask for a meeting with your manager and come up with a list of goals for yourself. Work at one at a time. It does not sound like you received much of a chance. Sounds to me like you were set up to fail... so much of this is probably not your fault at all! I am in hopes that your manager gave you specifics as to the areas in which he/she felt you needed improvement... if not, then how are you expected to improve?? When receiving an eval, always ask for specific incidents or reasons why they rated you the way they did. Many times, if they cannot give specifics, then I would surely question why you were rated that way in the first place! Be firm that you need specifics... if they cannot site them, then request that the evaluation be revised.
Certainly, do not give up. Just keep trying. Concentrate on the areas that need improvement. Spend some extra time "boning" up on those areas. Ask lots of questions.
Remember, your manager is there to assist you. They should be willing to help you in the areas that you need help in. If they are unwilling to do this, then they are not doing their job well either! Your job performance directly reflects in theirs.
Good luck to you. I sure hope things get better for you. Keep your chin up and keep smiling... it is all in the attitude!
Take care.... Tim