Because verbs have so many specific forms, it is also pretty common in Latin, as in most modern Romance languages, to omit the subject of a sentence, as it can typically be inferred from context plus the specific verb form - so, you often have to recognize the verb form to be able to understand who the sentence is even talking about (e.g. a sentence might say "amo regem"; if you recognize the words but not the specific forms, this means "love king"; but this unambiguously means "I love the king").
Now, there is quite a bit of regularity here - there are 5 categories of regular verbs (plus some specific irregular verbs), and 5 categories of nouns (though there are multiple sub-categories, as there is some variation in noun forms even in the same category; plus of course some irregular nouns).
Overall no, I don't see any comparison where you could say that Latin is a simple language. All modern Romance languages have universally merged or dropped various of these features. For example, Spanish drops the case system entirely, drops the neuter gender, and reduces the number of moods for verbs.
Wikipedia informs me that Romanian is a Romance language and has retained some of it. Also, the Slavic languages have largely retained most or all of what you’re describing, although they are not classified as Romance languages.
Slavic languages also have a case system (I think it's possible that this is part of why Romanian kept the Latin case system, as there was quite a bit of Slavic influence in Romanian), but they didn't "retain" it from Latin, as they are not Romance languages at all - they simply share this linguistic feature; Latin and Old Slavonic are by no means the only languages with a case system.
Good for getting SAT scores, but 3 years of actual French or Spanish would have done far more for me.