What are my rights since my lease is clearly being violated

I am not your lawyer, and I do not have all the facts of your case in front of me. Therefore, I cannot give you any legal advice. Nothing I write here should be construed as such.

The landlord probably would like to accommodate you but there appears to be no basis for him to evict the tenant above you. However, you may be able to sue the other tenant for creating a private nuisance. Obviously, it might be difficult to win such a case because the other tenant has a three-year old toddler, who is going to be a sympathetic defendant. To prove such a case, you might have to document or even record the instances of the excessive and continuous noise.

You can ask the tenant above you to get a rug or use other means to attenuate the noise. I am uncertain about the liability of the landlord because it does not appear that he took steps to breach the lease, nor was he negligent in renting an apartment to a family with a young child.