Take the time you need alone today, even if others push you to go out, you need solitude right now.
You should give in to your desire to stay home today and spend time by yourself. Others may try to persuade you do things and do out, but be firm if you really do not feel like it. You are entitled to your quiet time and theres nothing wrong with craving solitude sometimes. Explain how you feel and make sure you make plans for another day, too much time alone is not good either.