Why the gravity of the equator is slightly weaker than that of the poles was explained in https://www.researchgate.net/post/Is_acceleration_due_to_gravity_on_surface_of_earth_greater_towards_equator_acceleration_due_to_gravity_at_pole_is_greater_than_the_equator
For the second part of the question
The poles are warming faster than the rest of Earth because of energy in the atmosphere that is carried to the poles through large weather systems. The rapid loss of ice also affects the albedo, or reflectivity, of the surface, which leads to more absorption of solar radiation. The Arctic region is warming much faster than the Antarctic region because of feedbacks involving sea ice, ocean currents and atmospheric circulation.
The Earth's poles are warming faster than the rest of the planet because of energy in the atmosphere that is carried to the poles through large weather systems. The cause of this rapid warming is typically identified as the changing “albedo” of the Arctic's surface where the loss of snow and sea ice means less incoming sunlight is reflected back out to space. Human activities are at the root of this phenomenon. Specifically, since the industrial revolution, carbon dioxide and other greenhouse gas emissions have raised temperatures, even higher in the poles, and as a result, glaciers are rapidly melting, calving off into the sea and retreating on land. Near the poles, the Sun's rays strike the surface at a slant. This spreads the rays over a wide area. The more focused the rays are, the more energy an area receives, and the warmer it is. The lowest latitudes get the most energy from the Sun. Gravity is weaker at the equator due to centrifugal forces produced by the planet's rotation. It's also weaker at higher altitudes, further from Earth's centre, such as at the summit of Mount Everest. At latitudes nearer the Equator, the outward centrifugal force produced by Earth's rotation is larger than at polar latitudes. This counteracts the Earth's gravity to a small degree up to a maximum of 0.3% at the Equator and reduces the apparent downward acceleration of falling objects. Acceleration due to gravity is zero at the centre of the earth. The value of g is least at the equator and maximum at the poles. It means the value of acceleration due to gravity increases as we go from the equator to the poles.