Just some quick OOC thoughts about our house:
Defense: I think we're doing fine here. Easily our best stat. The next tier is at 51, so if we wanted to just go all-in Defense, we could try and pump that up a bit. I don't think it's necessary, though.
Influence: Again, we're fine. So far, only one person wants to play a child of the house. That still leaves us with 13 to use as a resource during gameplay, and a max status of 4.
Lands: I wish this was higher. For what it's worth, I vote to put (at least) one of our sets of 2d6 into this. As a point of reference, it costs 7 Land to purchase hills, and another 10 to have a hamlet in those hills. Light woods are another 3, a road is 5, etc. We have 7.
Law: This one also worries me. If we can get it to at least 11, the house fortune penalty gets cut in half to -5.
Power: This is better than I would have expected, given our house's history. We could afford to have a banner house if we wanted! I think we're fine.
Wealth: Well my roll didn't help much here, but we're probably ok. It will cost us 10 to have a mine (which requires us to purchase Hills or Mountains in our Land holdings), and another 10 for a maester (which makes it an option for a player). It would also make a lot of sense if we could snag an Artisan for castle-forged equipment or for improved fortifications. That might be greedy though.