Partially. Slovakia is part of former republic of Czechoslovakia. Two new states created 3 years after the Velvet Revolution are Slovak Republic and Czech Republic.
No, they are two completely different states. Look at the map of Europe
Yes, it's the same country.
Yes, it is the same.
Slovakia is the state located in central Europe (capital Bratislava), and was established after Czechoslovakia split off January 1, 1993.