
No. Georges Lemaître proposed an expanding universe from Einstein's equations in 1927. Hubble's observations in 1929 provided strong observational evidence linking galaxy redshift to distance.
No. Hubble built on others' measurements (like redshifts by Vesto Slipher) and on earlier ideas. Major discoveries in astronomy usually come from many people contributing data and ideas.
A Cepheid is a star that pulses brighter and dimmer in a regular way. By measuring that rhythm, astronomers can figure out how bright the star truly is and then how far away it must be.