Hi,
I have never been able to log my Google account without using SSL.
In fact I have had to go to Google and enable "Less Secure apps" in the security settings.
I have not added a Jabber buddy for a while but iChat never did things the same way as other jabber apps.
In other apps the Request for Authorisation is sent again and again until the person either accepts or rejects.
iChat used to send it once and if the other Mac was not ON-line to see it and accept it the person stayed and Not Authorised forever.
If it is Google IDs I would also double check the name.
The Mail App allows you to use either username@googlemail.com or username @gmail.com
When adding your own account this can be important as the Google Talk server will only allow the correct name.
Login to the Google web pages and see what name it says top right.
Obivously if a "Buddy" has emailed you their info the ID in the email address as sender may be "wrong" as it can be allowed and also written incorrectly as it were in the text of the email.
I take it you are using AIM or Yahoo to talk in "other accounts" ?
9:31 p.m. Thursday; June 18, 2015
iMac 2.5Ghz i5 2011 (Mavericks 10.9)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
Couple of iPhones and an iPad
