Sorry, it just takes a while to write summaries about them.
Kono is basically the establishment of the establishment. Here's the highlights of his career: Member of the House of Representatives (1996-present), Chair of the National Public Safety Commission (2015-2016), Minister for Foreign Affairs (2017-2019), Minister of Defense (2019-2020), Minister for Administrative Reform and Regulatory Reform (2020-now). He got shuffled between a lot of positions during Shinzo Abe's most recent term but that's not because he wasn't good at his job/s, it was just that Japanese factionalism doing it's thing. If elected he would also be Japan's first PM to speak English fluently. He used to be opposed to nuclear power but has somewhat backtracked from this view. Kono wants to deviate from Japan's US-centric foreign policy and be more 'Asia-Centric', but he still wants stronger economic ties with the US. In particular he wants Japanese-South Korean relations to improve.
Kishida has been Minister of like 6 different agencies in addition to being a Rep. The only relevant ones are the Ministry of Foreign Affairs and Defense (acting). He is a former banker and is rather more liberal about spending trillions of yen to soften the economic blow of covid. Kishida was strongly considered as the LDP's candidate for 2018, but the incumbent PM said "Kishida is for peacetime, not for troubled times." and he ended up not running. He's dovish and would prefer to keep Japan's current pacifist Constitution, but also isn't willing to back down on China. Very status-quoish.
Takaichi was also the Minister of 6 irrelevant agencies, but makes up for this by being interesting and controversial. Among other things, she denies that Japan committed war crimes in WW2, denies that comfort women were forced to be prostitutes to Japanese soldiers, endorsed a book called "Hitler Election Strategy: A Bible for Certain Victory in Modern Elections", and took a photo with the head of Japan's Nazi party. Shinzo Abe is publically supporting her and she supports the expansion of nuclear power.
As for Noda... she's weird. She also entered the race late, which is why her vote percentages are so low. Among other things she wrote a book called "I want to give birth" once and her main interest in politics seems to be improving Japan's birth rate. She also supports getting rid of Japan's porn censorship laws.