Your card dates to 1887. That is when the cards with the "Old Judge" banner at top were made. A Players league card would have
OLD JUDGE
CIGARETTE FACTORY
at the bottom of the card, as seen in the example below. Also nearly all the PL cards have PL either written in the negative or as part of the caption on front (there are some exceptions though).
1889 & 1890 cards have the following look to them:
Edited to add: Obviously the Mullane isn't a Players League card (as it is from 1889), it just has the same wording at the bottom that a PL card would also have!