Calvin was speaking to those in Geneva who were the most intense, rigorous reformers in Europe.
When he wrote that "no man can survey himself without turning his thoughts towards the God in whom he lives and moves," Calvin was addressing these fellow reformers who had already agreed that everything flows from God to man, and not the other way around. These men believed they "sought God" because God first sought them, changed their hearts and saved their souls, like Paul.
Man seeks a god, in general, because he's afraid of thunder and lightning.
A regenerate man seeks God because he has no other choice.
"We love Him because He loved us first."
What? Are you sure? I thought The Institutes were written to the King of France. Also I am under the impression that Calvin wrote them only a couple of years after his leaving the RCC.
What years was Calvin in Geneva?