On average across the year, yes, New Hampshire is hotter than Maine . New Hampshire has an average temperature of 9°C/48°F and Maine has an average temperature of 8°C/46°F.
New Hampshire's hottest month is July, with an average maximum temperature of 29°C/84°F, which is hotter than Maine's hottest month (also July, with an average maximum temperature of 26°C/79°F).
On average across the year, no, New Hampshire is not colder than Maine . New Hampshire has an average minimum temperature of 3°C/37°F and Maine has an average minimum temperature of 3°C/37°F.
New Hampshire's coldest month is January, with an average minimum temperature of -9°C/16°F, which is not colder than Maine's coldest month (also January, with an average minimum temperature of -10°C/14°F).
On average across the year, no, New Hampshire has less rain than Maine. New Hampshire has an average annual rainfall of 1196mm and Maine has an average annual rainfall of 1287mm.
New Hampshire's wettest month is October, with an average monthly rainfall of 130mm, which is drier than Maine's wettest month (also October, with an average monthly rainfall of 139mm).