True or False

I have two sentences:

"Would you mind if I OPENED the window?"

"My father has always been working very hard"

Usually, I say: "Would you mind if I OPEN the window?"

and :"My father has always worked very hard"

So please help me work this out: which sentences are correct?

You can say either "Would you mind if I open the window?" OR "Would you mind if I opened the window?" Both are acceptable, and I have no strong preference for one over the other.

But I would definitely choose "My father has always worked very hard" over "My father has always been working very hard." That sounds a bit tortured and contrived to me, because of the word always, which usually demands the other tense. I would really have to see that used in context in order to justify it to myself.

I also agree with you two. The first two sentences were given by my sister's tutor, which I did not agree. My sister was very confused and I was not quite sure about the, so I came here to ask for your opionion. Thank you very much.

You're very welcome.