As far as doing any of those things after one is saved, yes, we still do commit them to some degree. Jesus taught that it was the heart that mattered. To lust after a woman is to commit adultery with her. To hate someone is equivalent to murder.
Sin is born in the heart long before it is expressed in the actions.
God knows we are still going to sin and has made provision for that. He is not going to damn us the minute we slip, like the Catholic church teaches, leaving its followers to hope that they die right after confession or communion before committing another sin.
Even in cases where there is long term sinful behavior, God will prematurely take that person before allowing them to go to hell. However, profession of a conversion experience without the resultant good works indicates that it never happened. Mere mental assent is not enough to save one. Even the demons believe and tremble. (James 2:19)
Genuine faith will result in fruit which shows up in works.
God WANTS us to be saved, which seems to be a foreign concept to most Catholics.