Agreed with Mike that you left out pitches and durability which are also important. It's very difficult to say "this is the minimum" because many guys won't take anything less than 50-55 control (widely considered most important) but I've used guys with 50 control if everything else balances it out. I used a reliever with 51 control but he had a 99 Gb/fb (so he walked a lot of guys but got a TON of double plays) and he also had 80's velocity too (lots of strikeouts). His splits were in the 70's but he had two pitches, both over 85 which is AMAZING for a reliever.
Here's a few random pitching rating tips I use.
1) Splits, control, and pitches (not necessarily in that order) are king. A low rating in any of those can be balanced out by high ratings in the other two.
2a) A SP should have at least 3 pitches, but many believe that 4 pitches is better than 3, and 5 pitches is better than 4. Some will tell you that even if the 5th pitch has a rating of 27 that's better than only 4 pitches.
2b) As for pitch rating, a good Starter will have at least 2 pitches better than 75. A really good starter will have one pitch over 85 and one pitch over 75. A potential dominant starter will have 2 pitches over 85 (but remember, this can be negated if his splits and control are mediocre). A good reliever (closer or ace setup man) definitely needs at least one pitch over 90 and a second pitch over 80. It's extremely rare to see a reliever with 2 pitches over 90 but if he has 1 pitch over 90, he is a potential closer (again, depending on control and splits).
3) High stamina can be decieving if the player has lower durability. I don't like starters with 80 stamina and 17 durability. Stamina relates to higher pitch counts and durability is how quickly the pitcher recovers between outings. So the 80/17 guy could easily throw 110 pitches but he may still only be at 88% 5 days later when he's due to pitch again. I prefer my starters to have Dur of at least 22. If you want to use a starter with only 65 stamina then he's going to need at least 30+ durability.
4) HEALTH IS EXTREMELY IMPORTANT FOR STARTING PITCHERS. I have noticed, and I believe many will agree, that injuries to pitchers are both more frequent AND more legnthy than injuries to position players. Pitchers are more likely to blow out an elbow or shoulder and miss the entire season. For this reason, I feel nervous if I have a Starting Pitcher with health of less than 75. I set the bar very high for these guys since I depend on them. I have no problem with a 59 health LF but a SP with 70 health scares me, especially if he's All-Star caliber.
5) Do not use your best relief pitcher as your closer. A closer will typically get 45-60 innings in him, depending on your team and how you use him. A decent Setup A could easily throw 90+ innings depending on his stam/dur combo (more like 70 IP if he's at the lower end of those ratings). In order to leverage your best relief pitcher and maximize his IP, use him as SuA and use your second or third best guy as your closer. I've been known to use a rotation with 3 SuA guys and not even have a closer designated. That way the AI will choose one of my 3 SuA players to close every game (closer by committee). This rotation works VERY well.
6) Do not depend on LHS or RHS (specialists). The AI for these roles sucks and they will rarely ever pitch. If the player in this role is good enough make him a SuA or SuB, if it's a guy you don't want to throw very often anyway then it's probably ok to leave him as LHS or RHS.
Any more questions feel free to sitemail me or ask here to get a few more opinions.