Even worse, there seems to be no path for a trade depot.
As long as you brought picks, this shouldn't be a problem. Remember what game you're playing. If you don't like the landscape, terraform the hell out of it!
As for the wood...might as well stick it out and see how well you can do.
You can probably buy small amounts from the traders, which is all you technically need - just enough for beds (don't even need one per dwarf, since dwarves dont' all sleep at the same time) and a couple buckets to make sure your wounded dwarves don't die. Of course, good luck getting anything resembling a half-decent metal industry going, since the skimpy amount of trees you can buy from traders may be enough to produce a few items, but definitely NOT enough for the repeated forging and melting and reforging process required to train your smiths to a decent skill level.
Worst case scenario, you have NO wood. Try playing the game like that and see how it goes. Dwarves sleep in the dirt and get bad thoughts; this could lead to destruction. Dwarves get hurt and die because they can't be brought water; this gives their friends bad thoughts, this could lead to destruction. Dwarves suffer from lack of decent weapons, armor and ammo, this could easily lead to destruction. Sounds to me like you should play it out!
Edit: like other people have said, obviously having underground water can allow you to have wood, and having magma means you're good to go on the metal industry. Or if you're lucky enough to find fuel underground but I've never had that happen.