na prvu otazku je odpoved asi tu:
http://rulebook.hockeycanada.ca/english/part-i-technical-rules/section-4/rule-4-5/

When coincidental penalties are assessed to players on each team during the same stoppage of play, immediate substitutions will be made for those players. Neither team will be shorthanded as the result of coincidental penalties.

ale moze to byt aj od ligy k lige, jemne zmeny, mozno, resp. IIHF a NHL trosku ine pravidla, ktovie

co sa tyka druhej otazky, myslim, ze to zvyklo byvat ze braniaci hrac [teda podla tretiny] dava prvy, a tym padom ma jemnu casovu vyhodu, ale neviem, ci to nie je teraz tak, aspon v NHL, ze hostujuci hrac dava prvy [co si clovek uz zvykol, ze pri zapase je uvedeny hostujuci tim ako prvy]
asi to tiez bude ligy k lige asi?

In the NHL, a visiting-team player places his stick on the ice first for the face-off at center ice. For all other face-offs, a defending team player must place his stick down first. Once they establish position at a face-off, players must hold that position until the puck is dropped.
https://www.purehockey.com/c/hockey-face-off-rules-and-strategies

The attacking player shall be the first to place his stick on the ice, except for a center ice face-off where the visiting team player shall be first to place his stick on the ice.
https://www.usahockeyrulebook.com/page/show/1084660-rule-613-face-off-procedures#:~:text=The%20attacking%20player%20shall%20be,s%20facing%2Doff%20the%20puck.

takze naozaj to bude asi take vselijake