Insert logo with the same attributes

We can place it to the nearest millimeter!

But normally we don't do this on a blank page 😉

The Watermark* feature was made for you.

Once applyed, you can later remove or update a Watermark.

Don't forget to set the "Page Range Options".

* I thank once again the designers of Acrobat who inflict on us these illegible dark blue texts on a dark gray background. 

😉

I don't believe you can. What you can do, though, is insert the logo as an image field. Create the field on the first page, select its display properties (including the image) and then right-click it (in Prepare Form mode) and select Duplicate Across Pages, and an exact replica of it will be created in all the selected pages. If you want you can then flatten the file, which will convert those fields to static contents. But I would recommend just setting them as read-only, so it's easier to change them later on, if the need arises to insert a new logo in the future.