People usually "respect" the NH winner more than the Iowa winner (for good reason ... I feel like Iowa is usually more fractured, is a caucus and is less representative of a general election electorate than NH is). If Kasich wins NH and multiple "conservative" alternatives remain in like Trump, Cruz, Huckabee, etc. along with Walker, I think he'll win the nomination just like McCain and Romney did in 2008 and 2012 as the "moderates" (to the base, this has come to mean agreeing with the RNC on about 90% of issues but being willing to compromise at all).
Very true. Especially on the Republican side.
And, yes, if Kasich wins the NH primary, he'll be considered the frontrunner.