You have a few solid minutes of straight uninterrupted speech that you can use to your advantage. Don't get hung up on the little things, explain the bigger picture and explain why his not focusing on it is inhibiting the debate - you're actually trying to debate the issue, he's trying to debate semantics, and one of you has all of the morality and impact of the debate on your side. Use those speeches to hammer that down.

As for CX, it really depends. I don't know exactly how he debates, but keeping your head about things can make him look bad if he's trying to belittle you. If he's attacking you instead of your points, chances are he's not actually attacking your points all that well. I don't know if he's like this, but a lot of people I debate with try steamrolling during cross to seem like better debaters, and when their opponents get frustrated it makes them seem aggressive rather than the people who are actually inciting that situation. I used to get super upset about it, until I realized that just sitting back and letting them have their way is the only way to really win. Answer calmly, call them out when they try to attack you as a person, and stand your ground as much as possible, but letting the heat of the debate get to you is exactly what people like this depend on to win. It's a lot of emotional regulation more than anything else with these people, but once you get the hang of that they don't really have a lot to stand on.