What are the most important core ratings for:

Pitchers?
I tend to look at vL vR splits, and then control

Position Players?
I look first at Range, Glove and Batting Eye, then decide whether I like them based on their vL vR splits.

Just wondering what the top most important 3 ratings are for people as they look at players.

depends on your preferences, your ballpark, your strategy, etc. vets will tell you it depends on all those things, although with pitchers that is a good start although my order would look at Control, vR, vL

I tend to look at what's the lowest acceptable number based on the other numbers. 

Say I had a RP with 95/90 as his two pitches.   I'd probably drop acceptable split numbers into the low 50s.   But throw a 51 control in there and he's useless to me.

I look at individual pitch ratings as one of the last things, it's like a bonus to me if his splits and control are acceptable/great, and his health and durability are good.  Is this the wrong thing to do?  I figure that splits are the result of how effective a pitcher uses the pitches he has so they are more important than his pitch ratings, alert me if it does not work that way.....

Gun to my head, I'm going with vR as being the primary rating for both pitchers and position players.... but I've carried guys with vR in the teens when they are winning gold gloves at SS, and moved guys with 80 or 90+ vR because the rest of what they brought to the table sucked.... so nothing can be taken in a vacuum.

You don't seem to have any teams.    Nonetheless, you aren't going to find many pitchers who are without effective pitches regardless of splits/control.

He has 4 teams, just no completed seasons.

He does.  How about that?

A few rules of thumb that have worked for me...

Control below 40, regardless of other ratings, won't be very effective.

Splits below 50, regardless of other ratings, won't be very effective.

An average of your pitches below 50, regardless of other ratings, won't be very effective.

But it's all about looking at the whole package after you've been able to observe enough players to get a handle on how ratings translate into stats.

For position players, I don't worry too much about fielding ratings until I've determined they can produce enough with the bat.  Exceptions would be SS and C.

This is where someone posts their 38 control or 47 VL pitcher who won a Cy Young.  Of course, everything else will be in the 90s but that's how it works around here.

But those are good guidelines.   Not rules.

Exactly...just guidelines.

I'm the opposite...I don't concern myself with hitting ratings unless they can handle the leather.  Which explains why my teams are consistently in the top 5 defensively and pitching wise and bottom 5 hitting wise.  I just don't have enough seasons under my belt yet to know if that is a philosophy that will ever win, but it's my mindset when it comes to baseball...build killer defense and pitching and then focus on sprinkling enough bats to create enough runs to win.  May not work on a sim game, we will see.