Short answers, pulled from the story.
The Slovak parliament voted unanimously to secede from Czecho-Slovakia on the 14th of March 1939. This decision followed a meeting between Jozef Tiso and Adolf Hitler in Berlin where Germany urged Slovakia to proclaim its own state.
Jozef Tiso served as President of the Slovak Republic starting on the 26th of October 1939 after previously acting as Prime Minister since March. He held the title Vodca or Leader while his Hlinka's Slovak People's Party controlled all political activity within the one-party state.
Some 58,000 Jews had already been deported primarily to Auschwitz before the process stopped on the 20th of October 1942. The Slovak Republic paid Germany 500 Reichsmark for each deportee under the Final Solution agreement.
Members of Democratic Party social democrats and communists launched a resistance movement from Banská Bystrica on the 29th of August 1944 against German troops occupying Slovak territory. This uprising resulted in an estimated 5,304 deaths discovered in 211 mass graves following atrocities by Einsatzgruppe H and Hlinka Guard Emergency Divisions.
The Slovak Republic de facto existence ended when the Soviet Red Army captured Bratislava on the 4th of April 1945 during the Bratislava Brno offensive. The exiled government formally capitulated to General Walton Walker leading XX Corps of 3rd US Army on the 8th of May 1945 in Kremsmünster Austria.