That whole sequence was abysmally shot and edited. I had to watch it twice to understand that House, while acting recklessly, wasn't necessarily trying to murder someone.
When House is looking in the window at everyone at the table, the window's to the right of the door. When he's walking away after the crash, his car's to the left of the door. So he actually crashed into a different room. But it was really poorly put together. It comes off like House is a complete psychopath when in fact, he's just a big fucking baby throwing a tantrum.
Intent for first degree murder includes an intentional act with a reckless disregard for human life--it's call "depraved heart." Running your car into a house where you know people were seated, and for all you know people still are, would likely qualify.
The action also provides implied malice for attempted felony murder in the second degree--death during commission of a non-enumerated felony due to an act that is inherently dangerous to human life.
Attempt requires preparation and a substantial step to carry out the crime.
Or attempted vehicular murder, the attempted killing of someone with a vehicle and no alcohol involved, knowing that harm would occur if the action was taken.
Would get into it more, but busy. Needless to say, he's up for attempted murder in a number of ways.