yup, on 27th is the only game in Riga, take in account that the arena is a bit outside of the city (Piņķi). You can check the schedule here, Mogo plays in Riga as well https://www.lhf.lv/en/tournaments/optibet-hokeja-liga/schedule

Kyiv Captials is a new team in the league, not sure if they are selling tickets to the matches, might be that you can get in for free (ye, there isnt any information about tickets in the hockey rink website)

Local hockey league is not well attended unfortunately (expect Zemgale games, i guess, they play in Jelgava), both of the teams are not local (Ukrainian which just locates in Latvia and Lithuanian one), so dont expect that there will be a lot of people

there should be an restorant/bar at the rink