I can offer some help on the email part, set up the gmail in settings, mail,contacts &calenders then just use the mail app to get your mail.
I have 6 emails set up in there, one quick tap and I get them all.
The google page......bring up the web page and sign into that then click remember me on that. Then make that a bookmark or homepage ect., then go thru and remove any other saved pages from these sites you may have.
When you bring it up by a saved bookmark it will always come up with the settings for that page, which your probably not logged in on that page. Delete all old links and it should work fine when you get the new one set up