We're just play a lovegame

不对，应该是we've just played a lovegame.=we have just played a lovegame
根据你的中文意思，应该用现在完成时。

针对补充：
We are just playing lovegame.

对的

We just love to play a game !!

值得信赖！！希望我的答案能够给您一些帮助！！

不对。We just played a game of love.

应该是： We just played a love game. 我们只是玩了一场爱情游戏。