First, you should find out to whom you are supposed to send the letter and put that person's name in the salutation. If you're sending this to the Dean of Students for your college, that person has a name. If you're sending it to the Office of Whatever, find out who heads that office.
It may sound like a small thing, but search engines make it very easy to find this information, so when you don't have it it looks as if you couldn't be bothered. I would describe the plan in detail, making sure that every mistake you mention in paragraphs 2, 3, and 4 has at least one corresponding item. (This letter does not need to be exactly 5 paragraphs long with an introductory paragraph, 3 paragraphs developing an idea, and a concluding paragraph.
It should be as long as necessary for you to provide them with the information they need to understand why you should be allowed to take classes in the fall and it should be structured in any way you choose that helps the reader follow your argument.) The examination of what went wrong is important, but I think the plan - and any evidence you might be able to produce that indicates that the plan is likely to work - is a very important part of the appeal letter and shouldn't be glossed over as quickly as you did here. Here is an example of what I mean: I rapidly learned, when I started college, that it was much too easy to convince myself that I might as well cut class because that one day wouldn't really hurt my performance and because I had a good reason. I had a lot of good reasons, especially when I was lying in bed with the alarm blaring, knowing that I needed to get up in order to go to class.
And while one day wouldn't have hurt me, the one days piled up pretty quickly. I came to the realization that while other students might be able to cut class once in a very long while, I was not very disciplined in that regard. So I made a rule: I would attend 100% of class meetings.
It's not that I thought 100% attendance is necessary for everybody. It's not even that I thought 100% attendance is necessary for me. It's just that if I took skipping class off the menu, I was a lot more likely to be in class often enough.
So if I were writing an academic suspension appeal letter and one of my mistakes was chronic absenteeism, my plan for doing better would include a commitment to be there every single time one of my classes met, because then there wouldn't be a slippery slope for me to get in trouble with. I would especially focus on your plan to deal with "lack of motivation." My recent experience suggests that a significant number of college students believe, or at least speak as if they believe, that lack of motivation is something they get from external situations, that they can do nothing about and that inevitably causes poor performance.
I can't speak for everyone who did their undergraduate work when I did, but those people I spent time with had been raised, as I had, to view this as an issue of discipline and to believe that if you didn't find something intrinsically interesting you needed to work harder, not expect people to accept that you couldn't summon the will to do any of it at all. (If you don't see "lack of motivation" as outside of your control, it may be worth saying so explicitly.) If you have problems going to class, turning in your assignments, and so on when you are not interested in what you are studying, you will continue to have those problems. And although you seem to think that having some interesting classes will make you more willing to do your work in the boring ones, I'm not so sure.
It was certainly my experience that once I had fallen in love with a specific area of a specific discipline and had work I had that fascinated me, it took even more discipline to do the work in which I had no interest. On the other hand, I'd think that knowing what I wanted to do but being unable to do it yet would motivate me to get as many boring classes as possible out of the way so that I could maximize the number of interesting classes I could take each semester in the future. I'm not trying to tell you that your experience is wrong in any way, just to illuminate the immediate response I had to your letter so that you would see why I think it's so important for you to explain how you are going to deal with "lack of motivation" in the future, especially if you believe it is something that just happens to you and is not a failure of self-discipline.
Also, I'd drop the idea that your first year of college was "wasted." The way many of us see it, you spent your time working on becoming an educated person in general, and developing some of the abilities needed to be a fully involved citizen. It may not be what you wanted to do, but that doesn't automatically mean it was a waste.
I hope that whatever you end up doing this fall is something you find rewarding. Good luck.
I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.