When I was teaching introductory Latin in college, I was just happy if my students could remember their declensions and conjugations. I didn't put much attention on pronunciation. I wish I could have used a more modern method of teaching languages, but I had to abide by the department's expectations for course curricula.
As best as I can remember, most pronunciation issues would have been with vowels rather than consonants.
Horae quidem cedunt et dies et menses et anni, nec praeteritum tempus umquam revertitur nec quid sequatur sciri potest. Quod cuique temporis ad vivendum datur, eo debet esse contentus. --Cicero, De Senectute