Singular or plural? which is the subject?

Hello,

I'm confused as to which of these four sentences is correct, in particular whether the words underlined should be made to agree in the singular or plural:

1) "The direction and purpose that my life has taken since my studies at the Institute owe a great deal to Professor E's tuition."

2) "The direction and purpose that my life have taken since my studies at the Institute owe a great deal to Professor E's tuition."

3) "The direction and purpose that my life has taken since my studies at the Institute owes a great deal to Professor E's tuition."

4) "The direction and purpose that my life have taken since my studies at the Institute owe a great deal to Professor E's tuition."

My gut feeling tells me sentence 1 is the correct one... but I'm not sure.

Any help would be greatly appreciated.