Does the "Tea" card apply to a multiple set of cards from a single player?
The Tea card can only count the cards in your single largest set of cards with the same background colour.
When you have multiple possible largest sets due to a tie, you can still only use it against the cards from a single set, so you have to pick one of them. So the Tea card is only worth 2 points in your example.
The rulebook (page 15) states:

TEA
End of the round: Count the number of cards in your largest (or tied
for largest) set of cards with the same background color. Tea is worth
1 point per card in that set.