Grammar help please?

Hi,

Could you please check for me if I have made any mistakes in these sentences?

I did a test compared / comparing / compare these two items. (Compare is correct? after "do, did, does" are supposed to be a plain form?)

I did a compared test on these two items. (Compared is an adjective here?)

My study do / didn't progress well. (Progress here is a verb?)

Please or kindly shut the door, well you? (Only pick one in the same sentence, correct?)

Please shut the door vs kindly shut the door. (Both are pretty much the same meaning here correct?)

Cheers