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1.) The fourier of a unit step is found in any fourier table I think it's 1/jw + δ(w) or so. The time shift is a multiplication by a complex exponential whose argument is the time shift amount. You have to transform every step separately and add them.
2.) The fourier of a delta-dirac is a constant so you'll just be adding complex exponentials with different arguments together
You can do the transforms on your own using any Fourier table in a text book.