Turnout increase has definitely benefited Biden here. Trump is up about 20k votes but Biden is up about 75k votes (when comparing to 2016).
Looking at the presidential election, every county in New Hampshire has had a Trump-Biden swing since 2016. Some more than others but a fairly clear swing across all of them nevertheless, and quite a uniform swing in comparison to other states. Trump was ahead in 6 counties in 2016 but now is only ahead in 2 counties (Coos and Belnap), and both by reduced margins. Two counties that Trump won narrowly in 2016 (Hillsborough and Sullivan) now have Biden +6 and +4 respectively in 2020 The other two counties (Rockingham and Carroll) now have Biden very narrowly leading, having both Gone Trump by between +5 and +6 in 2016.
Looking at the Downballot Races, Shaheen appears to have won 9 of the 10 counties comfortably in the Senate Election, with only Belnap on a knife edge (currently 50-50). Coos County has Shaheen up +10 points, compared to Trump being up +6 points at the Presidential Election, quite a few split ballots in that County.
Both House Districts have the Democrats clearly ahead, by +5 (District 1) and +9 (District 2), and appear to be very much aligned with the Presidential Election Result. Neither District is completely safe for the Democrats, and the Districts voting differently from each other in 2022 is a distinct possibility.
At state level, the Republicans appear to be in a much better position. Sununu is currently ahead 65-32 and ahead in every county. In the normally Democrat-voting counties of Grafton and Cheshire, Sununu is ahead by +12 and +16 respectively. Sununu has a very high approval rating, in part due to handling of Covid (New Hampshire has one of the lowest rates in the country) and it appears that this has had an effect on state level elections.
Another factor could well be the state's general leaning towards both fiscal conservatism and social liberalism. At state level, it appears that the former has more importance (many like lower taxes and balanced budgets), whereas at federal level, the social conservatism of the republican party nationally is a bigger factor and has little appeal here.
If, as is is likely, the Republicans end up with unified control here, might that have some impact on redistricting and their chances in the competitive 1st District in 2022?
They could certainly draw a more favourable district by losing some of Manchester and/or the surrounding area and replacing it with Coos county (the northern part of the state) but it would still be competitive with a solid Democrat base in and around Dover and would end any chance they had in the second district.
I would remind you that extremism in the defence of liberty is no vice! And let me remind you also that moderation in the pursuit of justice is no virtue!