I'm finding out more about eastern Europe at the moment and found myself interested in this question since it seems at the first glance to me that Kaliningrad didn't have much of a Russian background and the exclave situation seems to me not that super attractive.
The easier access to the Baltic Sea and being away from Germany only about some 500+km seems to be for sure a reason but I would appreciate some more in-depth information on this.
Looking forward to all your answers! :)
Through some research I luckily found some answers to my question:
https://www.reddit.com/r/AskHistorians/comments/42iwb6/why_does_kaliningrad_belong_to_russia/
https://www.reddit.com/r/AskHistorians/comments/1ue9ub/was_the_territory_of_k%C3%B6nigsbergkaliningrad_ever/
Here are also some answers on why the city wasn't renamed after the 1990s:
https://www.reddit.com/r/AskHistorians/comments/90mvbb/why_is_kaliningrad_still_called_kaliningrad/
https://www.reddit.com/r/AskHistorians/comments/74if7q/why_is_kaliningrad_still_called_kaliningrad/
And here are some answers on how Germans reacted towards the occupations of the territory that was East Prussia:
https://www.reddit.com/r/AskHistorians/comments/63cha5/what_happened_to_the_germans_in_areas_such_as/
https://www.reddit.com/r/AskHistorians/comments/6ebxj0/is_there_a_sense_of_cultural_social_or_historic/