investigate, look into, wonder

When I hear about all these social problems, I have to inquire/question/debate the education system.

Please, give synonym to 'ANSWER' (noun). What are the verbs?

You want a job here? No problem, I'll look into/inquiry it for you.

Give the synonym to 'WONDER': I wonder if you've already seen our new accountant.

We had a very interesting discuss/debate/wonder about politics in Ukraine.

verb or noun: investigation? what is the other?

The police officer continued his investigation/inquire/wonder into the robbery.

I've almost finished my investigate/research into tax system of our company.

Did you get my email? You didn't response/reply/look into.

It was not a serious argue/quarrel/wonder. Now they are friends again.