My Work Environment now

I have not talked about work recently, because it is very messy now. I am doing daily work + my project work + prepare my new role + overseeing the transision of systems to vendor. I only have 2 hands, how much can I do? Sigh... Also, I am told to finished all my project work before handing over. Effective date is 1 May, but my replacement is not even appointed yet. Sigh... My dear friend invited me for a Trip to Russia, the date is 28 Apr to 7 May. I will be very happy to go, but my boss seems reluctant to let me go, I really hope she will let me. I have not taken long leave for more than 2 years. Can I have a break please? Sigh...