Hi, I just moved to a new country six weeks ago - I feel your pain! But at least I speak the same language.
Firstly, I find the days I keep busy, even if it's doing the housework, go faster, and I'm happier on them. (Okay, it's getting a bit mental, I'm cleaning the oven weekly).
Getting out and going for a good long walk, exploring the area, just going and doing the groceries, finding a nice cafe to have a coffee, where I can get my favourite wines, that helps. Also, starting little rituals and traditions, like Friday night drinkies and takeout.
The work visa thing is a ruddy great pain, isn't it. Especially since you can't even volunteer! But if there is a way past it - dog walking, or calling in on a person who can't get out - that could be really good.
I also totally agree about finding hobbies. I'm getting into cooking (I'm not sure the family feel this is entirely successful, but they suffer supportively in silence if they're not always loving the outcomes), and also decoupage. Oh, and turning into a raving Christmas nutter.
I've got to be careful how I think about home - we're not going home for at least two years, for a visit, because we're here for at least 6 years, if not permanently, and I'm terribly homesick. But I do find myself planning a cool holiday trip for when we do go back. . .