Q1) Pressure areas around the equator constantly move North and South with the Seasons as they are affected by the Inter-Tropical Convergence Zone, which is the area encircling the earth near the equator where the northeast and southeast trade winds come together. Solar heating in this region forces air to rise through convection that results in plenty of precipitation. In addition, as the air rises due to convection in such regions, the pressure of that area drops. Therefore a conclusion that can be made is that where the ICTZ lies, the pressure of the surrounding area is very low. The location of the ITCZ can vary as much as 40° to 45° of latitude north or south of the equator based on the pattern of land and ocean. In June the ITCZ moves pole wards towards the Tropic of Cancer and In January the ITCZ and the subtropical jet stream move southwards over the Equator and towards the Tropic of Capricorn.
Q2) Doldrums are essentially areas affected by the Inter-tropical Convergence Zones, predominantly across the Atlantic and Pacific Ocean. These areas are basically low-pressure zones around the equator where the air is still and the prevailing winds are calm. Sailors noticed the stillness of the rising (and not blowing) air near the equator and gave the region the name "doldrums." The doldrums, usually located between 5° north and 5° south of the equator is just another phrasing for the Inter-tropical Convergence Zone.
Doldrums are caused by the centrifugal force derived from the continuous rotation of the Earth, which is most crucial at the equator. This makes the air rise and travel north and south high in the atmosphere through the atmospheric Hadley cells, until it subsides again within the Subtropical Highs, between 30 and 35 degrees both north and south. Some of that air returns to the doldrums through the North Easterly and South Easterly trade winds, which are fundamentally generic surface winds that are blowing