The scores table needs a two-field primary key.
gameid (pk, field1)
teamid (pk, field2)
1stqtr
2ndqtr
3rdqtr
4thqtr
I would change this table further to normalize it which will make it more flexible.
gameid (pk, field1)
teamid (pk, field2)
periodid (pk, field3)
Score
With this structure, the table can hold scores for any number of periods. For example, 4 periods plus 1 or more others for overtime for basketball or football. Three periods plus a fourth for overtime for hockey. Nine innings, plus any additional innings for baseball. I would also normalize your play table in a similar way. You could even keep the play stats by period if you want that level of detail.