Misc: Which former racing driver owns Austria's second largest airline company?

Questions

In 1600 Battle of ---------- sets Tokugawa clan as Japan's rulers (shoguns). ?

In 1600 Battle of Sekigahara sets ---------- clan as Japan's rulers (shoguns). ?

In 1632 Sir ---------- Wren, England, astronomer/great architect, born. ?

In 1632 Sir Christopher---------- , England, astronomer/great architect, born. ?

In 1740 ---------- Theresa became ruler of Austria, Hungary and Bohemia. ?