No
Yes, "beak" is an open syllable because it ends with a vowel sound. In linguistics, an open syllable is one that ends in a vowel sound, such as in the word "beak" where the vowel sound /iː/ is not followed by a consonant. This contrasts with a closed syllable, where the vowel is followed by a consonant, such as in the word "back."
Photo is an open syllable word.
It is an open syllable.
First syllable closed, second syllable open.
Closed
Closed
The second syllable is open, the first is closed.
Paper is a closed syllable word.
Both open syllables.
Both closed.
It's a closed syllable.
It's a closed syllable.