When I bought this phone, I was just about to swap over to 2D but I used my Vodafone SIM. That gave me a 4G connection. With a 2Degrees SIM, I only get H+ as my best connection, despite someone with the same phone as me on 2Degrees having a 4G connection.
Here's what my phone shows when I try to select the network mode:

There isn't even an option there for LTE, which makes me think it could possibly be a firmware issue. Just to double check, though, I did copy down the APN settings my friend was using to see if that made any difference:


I installed Kies 3 to make sure there wasn't a version I was missing, and this came up:

VNZ makes me think that this is the Vodafone version of the firmware - so I guess I need the 2D version? Does anyone know where I can grab this from? I saw this link when I was searching these forums, but I couldn't see any indication that this is actually the version I need to flash. Here's a screenshot of my settings page (I think I might have accidentally enabled a security policy when I first set up the phone, but I removed that account because I didn't need it hooked up to the phone).

I hope I've been as thorough as possible, it's just getting a little bit frustrating that I can't get this to work (I was kind of looking forward to 4G and was planning on buying one of those $99 data packs so I can download a little bit more than my $39 Freedom Term plan allows for). The box that the phone comes in doesn't have the current 2Degrees 'Scratch and Win' stickers on it, but there's also no other markings to indicate any other carrier (though the lack of stickers might mean it's VF).
I'm not worried about the idea of reflashing the phone to get it working with 4G, I'd just rather not jump ship back to VF unless they offer me a considerably better deal. I live and work in the city anyway, so coverage isn't so much of a worry for me.
Cheers.
EDIT: Here's what I get if I use *#1234#...:
