You can move the toplinks around so that it's out of the way entirely.
https://vborg.vbsupport.ru/showthread.php?t=264999
As for making the logo image resize, that's over my head. Sorry.
To center it try adding this code to the additional.css >
Code:
.doc_header {text-align: center; }
.logo-image {clear:both; float:none;}
Found that online and tested it. Works great.