Lovren quite obviously played at the ball deliberately, but you raise an interesting point about the reason why - Kane was offside, and Kane's presence was the reason he played at it, else he would've let it run through. Shouldn't really be a peno in that sense.
Lamela was onside. It was close, but it was onside. Very clear penalty in my opinion.
Regardless of all that, I think the biggest controversial take from this is the comment in the discussion between ref/lino after the first one. They asked if anything could be seen from the tv. That exposes what I've long suspected - they look at the screen and make decisions from it, and they also have someone looking at a screen offering advice from off-pitch in the very short period after the decision. It always looked like they were influenced by this sort of thing - it's so common to see the ref repeatedly looking at the big screen while he's deciding if something is no card/yellow card/red card etc. They use what they can, and I've never really begrudged them for it. But now you've got the FA pretending that's not the case - releasing a false statement, removing all the footage of the discussion between ref/lino from youtube, twitter etc. It's pretty poor, they need to just fess up.