Semicolons would definitely be more appropriate here than periods; but a bulleted list would be even better IMHO.
However, a bigger issue is that the list's introduction ("If you are wondering whether the defendant committed the crime, please consider the following facts") suggests that the facts will bear on the defendant's guilt — that is, that someone who's not sure whether the defendant is guilty will be better able to make that determination after considering the listed facts — whereas in reality, the list is of irregularities in the trial that muddy the question of the defendant's guilt. If anything, the list seems to be targeted at people who already do believe that the defendant is guilty, but only because they know the jury's verdict (and don't know enough about what led to it). As a result, the whole paragraph is rhetorically quite weak. Instead, I'd suggest something more like this:
My conviction was unjust, for the following reasons:
- None of the writings in my case were submitted through the proper web-form.
- No police officers testified.
- According to the police department, the primary evidence had accidentally been destroyed.
- At trial, I was not allowed to present exonerating video evidence.
- One juror was missing on the day of the trial, but was still allowed to vote.
- Cross examination was unfairly limited.
(Note: I've adjusted some of the wordings for clarity and relevance, and to avoid sounding like you're trying to accuse the police of misconduct. Please double-check that the results are still accurate!)
You might also want to clarify what "the proper web-form" thing is about. What writings are these, and why does it matter how they were submitted? Oh, and it's also worth clarifying whether police officers were prevented from testifying, or what the story is there, so it's clear why it's an issue.
Lastly, I have no legal experience whatsoever, but as a layman I'd also like to see an explicit statement that you're actually innocent (if you are): it's perfectly valid to complain about irregularities at trial, but you probably don't want to look like you're trying to "get off on a technicality" (unless that is indeed what you're trying to do, in which case, whatever).
Have you consulted a lawyer? You might want to.