@laurawilloughby,
I was taught Latin in an English public school (Alleyn's, Dulwich) in the 1960s. The accent is generally on the penultimate syllable.
ResURgent - Res -'e' as in best, men, wet. Accent on UR. Hard 'g' like God, go, give
SpIro - short 'i' like in pin, thin, it, big, etc
vItam 'v' pronounced like modern 'w', like with, will, win. Rhymes with ham, spam, jam, Pam, Sam.