I think they want to see that the reasons you did poorly have been resolved. Since both your seizure disorder and depression are chronic, neither is resolved (even if you're not currently in a depressive episode, it's still a chronic disorder). If you have come up with ways of dealing with these to prevent them from having an impact on your grades in the future, and showed that in your letter, hopefully that will help you out.
Also, if you do get reinstated, you should consider registering as a student with a disability. You can get any accommodations you need and/or take a reduced courseload, and once you've been approved for the accommodations it's up to you whether or not you use them, if you feel the need to. You can get approved for a bunch of accommodations and then not use any of them if you have found other ways of coping. I think it's better to have them than not, though, so you don't get kicked out again. I know clinical depression can qualify you as disabled, and I'm pretty sure the seizure disorder could as well.
Good luck.
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