The name Hornyak is Hungarian
It is Czech. Name Chalupka is not of Czech origin. If it was Czech than it would spell Chaloupka. It is pure Slovak name.
Kuchar means "cook" in either Czech or Slovak. His ancestry almost certainly comes from either the Czech Republic or Slovakia.
The Czech word for work is práce. It is also práce in the Slovak language.
The last name Kucera is Czech and Slovak. It is a nickname for someone with curly hair, from kucera 'curl'. This is the eighth most common Czech surname. Other Czech surnames with the same meaning are Kudrna and Kader.
Tarlowski is a Slavic name with Polish spelling. It probably originates from Poland but may come from Czech or Slovak regions.
Slavic or Eastern European Jewish. The spelling can change because of how a Resnick decided to approach letters and sounds not found in English. Resnick spelling typical of those of Jewish descent. Rzeznik more typical of Polish or Eastern Slavic (Russian, Ukrainian ect.). Reznik typically Czech or Slovak.
The Slovak version is Margita.
This is not a slovak word. It doesn't mean anything in slovak.
Without further information, it is difficult to determine the exact nationality for the name Hluchan. It could potentially be of Czech, Slovak, or Ukrainian origin, as the name seems to have Slavic roots. However, it is best to consult with a genealogist or researcher to obtain a more accurate answer.
This surname Cervenak is a Czech surname and perhaps is of Slovak origin. The name "Cervena" in Czech means "red", which is found in the name Cervenak. Perhaps the meaning of Cervenak has something to do with red. Perhaps Cervenak is a variant spelling of Cervenik, which is a place name in Slovakia.
Names are not translated in Slovak language. However, there is similar name "Matúš" :)
Almost certainly either Czech or Slovak, judging from the spelling of his name. The "ch" however, would have been pronounced hard, as in Loch Ness.