The first??? Stop re-writing history, even accepting the early dates for the Tea Party origination, which would be in the early 2000s, the debt has been an issue for quite a while, decades even. Certainly since Reagan skyrocketed it.
But your mistaken representations of history aside, no, the Tea Party doesn't actually want to do anything about the deficit, if they did, they'd not worship Grover Norquist, but would consider the days of Clinton and the original George Bush.
They're not willing to do that, though, because they oppose any restoration of tax levels, and what's worst is they don't really do anything about spending, because they only want to destroy the programs they hate (often for specious reasons, and often over trivial amounts), but actually increase those they do like.
At least that's been my experience with the reality of the Tea Party. Perhaps you might say that's because of other corrupt politicians, or because of other circumstances that don't reflect the genuine intentions of the Tea Party, but then I would say that you have shown that idealism often fails when it meets reality, and that the Tea Party needs to revamp its focus and stop being shills for those exploiting it.