There are possible alternatives, but it doesn't mean there's a better strategy.
Just as Democrats aren't a hivemind, Republicans aren't a hivemind.
From meetings with Republican voters/ activists, they are nervous about voter fraud. For the most part, they're wrong to do so. I don't see any evidence of widespread voter fraud. But that's part of where #1 comes in. If we're just looking at political strategy, Democrats may be overrepresented among groups that are affected the most by voting restrictions (people with no fixed address, younger people who haven't voted before, college students.)
The motive of #2 is not to make pissed off at Biden. They think unemployment benefits are incentivizing people not to work. They're generally against financial benefits, as they prefer lower taxes.
With #3 and #4, given Trump's popularity with the base, they don't want to piss off voters by pointing out things that are true and unpopular. They would prefer Trump fade away, because the next Republican President is going to need a coalition of people who like Trump and people who do not. Depressing turnout among people who like Trump is unlikely to be a winning strategy. As an example, Ronald Reagan didn't get to be President by bashing Nixon. Obama didn't become President by completely disavowing the Clintons. Weirdly, Trump did succeed in primaries by bashing an earlier Republican President, so he's the one exception.
I don't reside in New Hampshire, but here would be a few differences.
New Hampshire is more of a purple state, so there are more Democrats. The elections are much more contentious, so politics is a bigger issue. The state legislature swings back and forth. And you've got the presidential primaries.
I'm not endorsing the viewpoint. I'm just explaining it.
I can't think of any example in the last thirty years when a vaccine has been harmful, so on that specific question, I definitely disagree with the policy in Tennessee.
You do still need voters to go along with policies, so that's where other considerations come in, when it comes to the questions of outreach to minors.