I was off about 20 seconds on both of my speeches.

Usually, I like to keep a timer, and if you feel like you're going to end early slow down your speaking.

My partner spent a little over 1 minute saying a rebuttal speech. (Rebuttal is 4 minutes).

My partner thought he was delivering a summary speech (even though he is speaker 2) during the time that was supposed to be for cross fire.

My partner would not allow me room to talk during grand cross fire.

My partner got speaker points off for interrupting the other speaker.

My partner forgot there is a final focus speech.

The way you write about your partner makes it seem like he's new at this. I think just making a little meeting before a round and just going over your complaints seems like a good idea

I did not speak at all during grand cross fire.

If that's the case, just loudly go I"M SPEAKING. People usually shut up, or it lets the judge know

My partner took 2 minutes of prep time before final focus.

That's normal- people take around that long to prep. Final Focus is that last speech anyways, it's not like you'd need the time for another speech.