Hi,
So this is a version of iChat 6 in Lion.
The setting for the option not to launch at a New Messages is only in the Preferences.
In Lion the .plists can be edited with Property List Editor that comes with Xcode (for that version of the OS).
I had not heard of Hipchat and looked at their website.
It does not make it clear which protocols it is using although I eventually found it uses Jabber/XMPP by using a "more" link at the bottom of the page and then the right hand menu in the next page.
There are several possibles at this stage.
The first is that the Helvetica Font or the Lucida Grande Font is corrupt.
Open the Font Book
Set to All Fonts.
Select Helvetica and then use File Menu > Validate.
Check it also is not duplicated.
Repeat for Lucida Grande.
Helvetica is a System Font uses by many items in the OS to make sure apps display their Windows properly.
If it is corrupt or missing then many app would be playing up.
Lucida Grande is used to title the Group bars in a Buddy list.
If you can remember the outgoing Font (If you changed it from Helvetica) or any Incoming Override you set then check these Fonts as well.
This will depend if there are or should be Open Chats when the App is opened.
Next check the Address Book.
Use the Card Menu > Find My Card (it might read Go to My Card.)
Check this is your Details.
iChat (and Messages) use the Address Book to place the name at the top of each buddy List.
Restart the iChat app after each change you make.
If none of these work Navigate to ~/Library/Preferences
You may need to use th ALT key in the Finder > Go Menu to see the Library in the menu list.
In the Preferences find the com.apple.iChat.plist file
Drag it to the Trash.
Restart the app.
8:38 pm Wednesday; April 16, 2014
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