Please, help me with my questions!

Hello, there!

Could you please, help me solving the questions below ? All of them are about pronunciation.

Thanks in advance!

- "library" - Do we say /lái-bré-ri/ or /lái-briri/? Because I always hear both forms. (here I'm writing as I hear the pronunciations, not using the fonetic transcription,of course.);

- "Paul" (proper name): Is it /Pôl/ or /'Pól/ ? Because as it happens with the word above, I always hear both forms. (by the way shouldn't be /Pôl/ a British pronunciation while /Pól/ an American one? Taking into consideration that British English has an unopened pronunciation most of the time, while American English has a more open one?);

- "budget" ; I believe the correct pronunciation is something like /'bujit/ and not

/bud-get/. And "temperature" is like /'têmper-ature/. Am I right?

Thanks for the help,

Anon.