YOU SAID:

the cat sat on the mat and pat a rat and had a hat

INTO JAPANESE

猫はマットの上に座ってネズミをなで、帽子をかぶっていた

BACK INTO ENGLISH

The cat was sitting on the mat, petting the mouse and wearing a hat

INTO JAPANESE

猫はマットの上に座り、帽子をかぶってネズミを撫でていました

BACK INTO ENGLISH

The cat was sitting on the mat, wearing a hat, and petting the mouse.

INTO JAPANESE

猫は帽子をかぶってマットの上に座り、ネズミを撫でていました。

BACK INTO ENGLISH

The cat was sitting on the mat wearing a hat and was petting the mouse.

INTO JAPANESE

猫は帽子をかぶってマットの上に座り、ネズミを撫でていました。

BACK INTO ENGLISH

The cat was sitting on the mat wearing a hat and was petting the mouse.