第一句：I'm in a hurry with several cases.
我手头有几个紧急的案子。

A: John, we will go to Shanghai next Monday.
约翰，我们下周一要去上海。
B: Why? I'm in a hurry with several cases.
为什么？我手头有几个紧急的案子。
A: We should have a negotiation with ABC Company about their claim.
我们要和ABC公司就他们的索赔进行谈判。

第二句：There're still several things that haven't been decided yet before the trip.
在出差之前我们还有一些事没有处理完呢。

A: Who will go there?
都有谁去啊？
B: You and I.
你和我。
A: There're still several things that haven't been decided yet before the trip.
在出差之前我们还有一些事没有处理完呢。
B: The negotiation is in a hurry.
这个谈判很急。

其他表达法：

I have to place everything at his disposal.
我只好让他来处理一切事务。

I have a matter of importance to deal with.
我有事要处理。