[riverkid]

Originally Posted by Create

1) I don't feel like going out because I WAS WALKING about the garden for over an hour before you CAME.
or
I don't feel like going out because I WALKED about the garden for over an hour before you HAD COME.

Either one is okay. Sounds very BrE so as to how common one is over the other, I'm not sure.

2) I wonder why all his suggestions were TURNED DOWN. They seemed quite sensible.
or
I wonder why all his suggestions HAD been TURNED DOWN. They seemed quite sensible.

Neither of them was right as you had written them. They needed the passive and I've added what was needed, in blue.

3) I am afraid I WILL BE ENGAGED at eleven. Come round at twelve sharp. I WILL BE WAITING for you.

Okay/

4) The report will be ready in a few minutes. I believe the last figures (to look up) now. (???)

Possibly, "I believe the last figures are being looked up now".

5) We are so glad the party is going to be held at last. We WERE LOOKING FORWARD to it for a month.

That's okay. Since it shows a continuing period of "looking forward to it", we'd often choose the present perfect continuous.

We've been looking forward to it for a month.


6) Excuse me, I WAS LOOKING at you for such a long time because your face seems familiar to me. I have a feeling that we MET somewhere before.

Same here. Your examples are okay but the present perfect could also be used. I've been looking at you ... I have a feeling that we've met ... .

8) Will you come round and have a look at the coat which my sister HAS just BOUGHT? The material is excellent and it (to wear) for ages, I think.

My guess is that it's "... and it wears for ages".

9) Peter came late to the party, so when he entered the room all the guests WERE INTRODUCED to each other, some of them DANCED, and some SANG in the next room.

I'm not sure of the intent here so I can't comment. It could be, " all the guest had been iontroduced to each other, some of them were dancing and some were singing in the next room" In other words, we didn't wait for Peter, the party was in full swing.

That's the first part. I would be very grateful for any help!

The context is very important. That determines what the speaker chooses as to structure.