I think you need more help on these images. You got some good advice and some wrong advice.
First, image one may be OOF, but I think the real technical problem here is the slow shutter speed is causing motion blur, and it’s a heavy crop (your focal length was 145). Your EXIF states your shutter was at 1/400. To freeze the runner and to get sharper images you want a shutter speed of at least 1/800. You’re shooting with a 7D, so don’t be afraid to raise your ISO to 1600 to keep your SS up if necessary. I also see you were shooting in manual mode for this image which is great…all you need to do is raise your ISO so you can increase your shutter speed. It also appears that your ISO is set to auto, as each image seems to have a different ISO setting.
Here is what I would suggest doing. Keep the exposure setting to Manual, set your shutter speed to 1/1000, set your aperture at f/4, then take your ISO off auto and set it so that you get a proper exposure. You’ll need to keep an eye on the images as you shoot and as you change position, but within a couple of games I think you’ll get a good handle on it. It’s better to learn the basics at the very beginning rather than later on.
As far as shooting through the fence, that’s not a big deal. Here is a shot from behind the fence. It did take a little PP (mostly adding contrast and adding some black) to completely make the fence disappear. And this was shot with a 400mm 2.8 so I was not able to shoot between the fence, but actually through it. With a 70-200 you should be able to shoot between the links and not have to do too much PP.
As far the composure is concerned, I’d agree with everything said here. For a shot to be interesting you need three things, action, ball, and faces(s). Baseball is like every sport, you’ll never be in position to get all of the great shots of a game. You’ll always miss great shoots due to position.
For baseball, here is how I’ll tackle a game.
First two innings I’ll setup near the home teams dugout. From there I’ll get shots of the starting pitchers (doesn’t really matter if the pitchers are right or left handed, I’ll always get a complete series from both sided) and any left handed batters. I’ll also keep an eye all runners on base. It’s good to review the stats of the players before the game so you know who the aggressive players are that steal a lot of bases. If the opposing pitcher is any good he’ll work on keeping those players checked, and you’ll always be ready to capture it, as well as if the runner tries to take second. From this spot you’ll also have good position for any play at second and third base as well as home plate.
As soon as there has been a complete rotation of batters from both teams, I’ll move to the other side of the field near the visitor’s dugout. From here I’ll again get images of the pitchers, and then the right handed batters. This position is also a great place to get good shots of the infield worming up between innings.
After a complete rotation of batters from this side I'll then move to behind the backstop and get images of the pitcher (like the image above) of both pitchers. This will then typically leave me with at least two innings to play around to see what I can get with the field I have to work with. A good exercise to get in a habit of doing is at each play think to yourself, where would have been the best place I could have been to get that shoot? Then look to see if that spot is available. You'll quickly learn where good spots or for that field. I've found each field is different and offers different opportunities. The last two innings is when I'll try and capitalize on the opportunities it has to offer.
It could be behind first base:
It could be high up with the score keepers:
It could be behind (or in this case under the fence) at right field:
Or it could be behind the back fence (not the best quality image but you get the point...I hope. LOL)
Hope this helps.
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And at that distance and focal length and distance the DOF will be at close if not more then 4 feet. So DOF should not be an issue. 
