[teataster]

Correct pronunciation is rather relevant for your first point, if you are trying to read poetry.

Both latin and classical greek poetry has a "rhythm" based on the pronunciation of each syllable. In latin you won't get the rhythm unless you are very knowledgeable of the poetic forms or the correct pronunciation of words, since vowel spelling is overloaded: there are 10 latin vowels (excluding diphthongs) and 5 ways to write them traditionally.

Same goes if you are interested in following a christian mass in latin. Songs make little sense without medieval/vatican pronunciation. I can read an ecclesiastic text, but I get nothing of what they are singing, since I was educated in classical latin.