Hmm, no, I don't think that this is normal.
What else do you have in your life? Do you have a job you enjoy and could potentially make a career of? Good friends, good relationships with family? Hobbies and interests?
You are young. Sometimes, young women over emphasise their relationships with men at the expense of all the other aspects of life which make for being a happy, well rounded person. The media is to blame. Films, women's magazines, books, TV, especially soaps, Facebook etc, push this idea on us, that romantic relationships are the most important thing in a woman's life.
Don't lie in the bath fantasising about being single. Go out and enjoy yourself with friends and family and doing things you enjoy.
When you are secure and confident in yourself as an adult woman, then you will feel more confident to make the decision about whether this is the right man for you.