Can energy and mass be created or transformed in the universe?

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Can energy/mass be created? If doesn't, how has it come to exist? If does, how can it be achieved?
 
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Is invariant mass always conserved? I mean, if you have a particle and anti particle annihilate won't you be left with relativistic mass only now?

As far as I can tell, you can have a ton of photons with some energy in the same place then they can 'transform' into a particle-anti particle pair which in turn transforms their relativistic mass into the rest mass of the particles... Right?

Also, since light always travels at c does it not always have the same relativistic mass in every reference frame?

Sorry for random questions and not helping.