No, it just says that you "like" something. The tense works both in the past and present. Facebook never says that you liked something that you did not.
This article is rather low on substance, but it links to [0], which has been here before (can't find any discussion, though), and claimed exactly the opposite, namely that Facebook said you liked something you never liked.
Maybe the guy despised corporate bullshit, but entered a Discover-sponsored sweepstakes or something similar that had a like requirement.
Or, he had to like Discover's page to be able to post comments there bashing their corporate bullshit.
There are a number of explanations, and deeming Facebook to be faking likes based on "I don't think my dead friend would've liked this page" is a little tenuous.
The tense doesn't work in both the past and present. That's why you had to switch to the past tense to make your second point. Translating it back to the present gives "Facebook says that you like something that you do not", which is what the OP is complaining about.
