The way you're playing is called "coach mode." There are 2 ways you can do this.
1. Play the game normally and just don't use the joystick (it sounds like you're doing it this way). If you do this, make sure to turn on the setting (it's w/ the other gameplay settings) for "auto pass." This way, your AI controlled QB will pass it for you.
2. Use the "coach mode" setting, which is the preferred way to play coach mode. When you're starting a game and you're on the screen that lets you select your playbooks there's another setting (I think it's probably called "game mode"). Change this to "coach mode" and then all you're even allowed to do is call plays.
Simming the game is either by simply advancing a week (in dynasty) and then letting the CPU sim it for you. Another version of simming is "supersimming" which is an option in game (from the main menu when you pause the game) where you can either sim a play, until the other team gets the ball, to the end of the quarter, end of the game, etc.
I'm not sure what sliders you'll want to try, but if you're just gonna play coach mode, there are sliders sets designed w/ coach mode only in mind.
When you use the controller, that's just playing the game normally.
Most people play the game w/ the controller and move the players on their own. There are many, myself included, that prefer coach mode instead. I've played NCAA for many years and I've always controlled the players until this release. For the last 6 months or so I've played coach mode and I don't think I'll ever go back.
Being brand new to the game, there's another setting that's made specifically for you. While on the playbook select screen one of the settings besides "coach mode" is "1 button mode." W/ this setting you just push 1 button (probably "A" on 360) to do everything. Here are some examples of the differences:
1. Normally a runner can juke left, right, or back, spin, hurdle, etc. There's a different button for each of those. In 1 button mode, you simply push "A" and the game decides which move is most appropriate and then does it for you.
2. While passing you usually have 5 potential receivers. Normally you have to know which routes each guy is running and when they should be open. You need to read the defense to see which guy is open. You then need to push the correct 1 of 5 buttons for the receiver you want (which is displayed over his head anyway) and then push the button the correct way for the pass you want (hold it for a bullet pass, tap it for a lob pass, use the LS to lead him right, left, forward, or back).
In 1 button mode you simply push "A" and the game decides which receiver is the most open, and then throws the appropriate type of pass to that receiver.
If you would like to have some control over the game, I'd highly recommend 1 button mode. I've personally never used it, but it was made precisely for newcomers like yourself. Maybe after playing like that for a while you'd become comfortable enough to play on "normal" mode.
But like I said earlier, many people prefer coach mode and I personally will only play coach mode from now on, even with many years of experience on the sticks.