General issues:

I know Franzy is annoying, but she seems to have reverted back to JFA-style annoying-ness. Seriously, I don't remember her being quite so irritating in either T&T or AAI (I don't know if you've played that one yet, though).
In the check for the glove letter, "of" should be "off"

While playing (hopefully the frame numbers are right):

The prologue looks really nice.
44- "men" should be "man"
45- "the years" should be "my years". Also, the "very" sounds weird.
46- optional: sticks to "me" would make more sense
58- optional: comma after "well". Also, both Ron deLite admitted to stealing the Sacred Urn in GS3. I know that wasn't "robbery", but it was still the first thing I thought of when I read this line of text.
126- "your" should be "you're".
198- optional: you don't need the word "having" here.
199- instead of "on", "sitting in" or "in the car".
200- possible typo: did you mean "how" instead of "now"?
224- I'm not sure why you stopped the music here.
228- I know it's important to know what "quick test" means, but Edgeworth probably should explain why it's important here. Since he's making an objection and all.
233- Paycheck is one word.
265- "create a problem" doesn't sound right.
304- Is there some way you can make it more obvious that there's a flashback?
308- It's not really the database that's unreliable, if I'm reading this correctly. It's the test that's unreliable.
320- How does he draw that conclusion? It's totally possible that Fiz's DNA is the only DNA on the ring even if the test was not complete. Is he bluffing, or am I misunderstanding?
344- "near" the car sounds better to me.
345- I think it'd be better as "We assume that the criminal wore the glove to hide her fingerprints."
381- space between "for" and "that" needed
386- sounded kind of awkward
403- You had "detective" capitalized earlier in the trial.
474- "Lets" should be "let's" or "let us".
475- I don't see why "give you" is highlighted. It'd make more sense for "If you say yes" to be highlighed, because the point Edgeworth makes in the next frame is that Fiz DID say yes, which is why she has the ring.
Also, about this point: it doesn't prove that Fiz loved Stape. She might've just replied because she wanted the ring. I can't believe that Franzy wouldn't catch that...I mean, if it was Payne, maybe, but not Franziska.
481- There must be a better phrase you can use besides "proven wrong".
497- What Stape says in his letter isn't proof enough that Fiz had forgiven him. He could have just THOUGHT that she forgave him, while in reality she hadn't.
525- Four lines of text here.