Should I quit this relationship?

Here is my story,
I met a girl and we got into a relationship. Its pretty new and in honeymoon phase. We have been together for 20 days. Almost a month right? I feel excited. But the thing is, she has a good personality , reassures me when I am overthinking , takes accountability for her mistakes and doesn't do anything which might hurt me. And doesn't let me cry.
.
But, one day I told her I would be busy and not to text me. Fair, she didn't text me all day. I thought she would go online to check if I sent her anything or not but nope. She doesn't check if I am sent her a message or not. On the other day, I sent her a message and it was a letter. It was a sweet letter. I thought she would read it but nope she is still offline. And it has been nearly 2 days she has been offline. Now one day, I sent a friend request from a alt to her account. She got online at first but when I got online she got offline. Now I dont know, If I am getting played or she is cheating on me or not.
I tried communicating, but she is always busy. Has time for her friends on Easter but not me.
Says I am important but it doesn't feel like it.
And whenever I want to spend time in a special occasion. She is going out with her friends. And we dont even get that time we need.
What should I do?
Should I quit this relationship?
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