Hello,
I have got access to bit bucket but I do not see any option to create new project and repository.
Welcome to the Community.
In order to create a project, you must first create a Team. The team doesn't have to have any other members except yourself - that is up to you.
Here is some more documentation about Projects: https://confluence.atlassian.com/bitbucket/group-repositories-into-projects-792497956.html
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