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We were very happy about the present.

I assume that the above sentence is simple past . How we can write this sentence in past continuous?

They had very happy about the present. --> Is it past perfect ?

They had been very happy about the present. --> Is it past perfect continuous?

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park aqua 323We were very happy about the present. I assume that the above sentence is simple past . How we can write this sentence in past continuous?

As "We were being very happy about the present", but this is not normally a natural thing to say. Continuous tenses of the verb "be" have limited use; they can be used to describe deliberate or willed behaviour, especially emphasising how this affects others, especially negatively, e.g. "She was being very unpleasant", but "we" being "happy" does not fit this mould.

park aqua 323They had very happy about the present. --> Is it past perfect ?

This is ungrammatical.

park aqua 323They had been very happy about the present. --> Is it past perfect continuous?

No, this is ordinary past perfect. Past perfect continuous would be "They had been being very happy", but this tense of the verb "be" is highly awkward and virtually unusable in practice.

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park aqua 323I assume that the above sentence is simple past . How we can write this sentence in past continuous?

You can form the tense, but the continuous form is not used for stative verbs.

e.g.

I am cold. (correct}

I was cold.

X I am being cold. (incorrect)

X I was being cold.

The continuous forms are for dynamic verbs.

. All these are correct.

I run.
I am running.
I ran.
I was running.