Accessing Outlook Web Mail

still have a pc at home running internet explorer to access corporate webmail. when i access with safari it does not work well, ask for my password repeatedly; when i use safar works better but 2 key functions are missing 1- i cant access contact when i am typing a new mail it defaults to webmail corp directory which means i need to manualy type each address and on internet explorer there is a submenu that lets you switch to contact (none on safari) and 2- cant drag emails to a folder you need to click on several steps to do the same. Has someone seen thiss fixed in any version of a web browser for mac?