I thought at the time that the first handball appeal looked like a penalty - his arms are out, they block the ball and in addition, if his arms hadn't been there and the ball had gone past him, it would have been a penalty for the body check/trip. Suarez was a master at getting penalties for very similar handballs by deliberately trying to chip the ball past the opponent at hip height and I don't remember people suggesting they shouldn't have been given at the time.
I was actually interested in a challenge on Milner in a similar position a few minutes later. The ball has spun up high in the air after Sturridge's shot is saved, Milner has jumped to challenge for it and the defender has come in underneath, essentially run into his feet ~2 feet off the ground, knocking Milner sideways and leaving him completely unable to challenge for the ball. There wasn't a huge amount of contact and it would have been a very unusual penalty, but the defender didn't even attempt to jump for the ball and his contact with Milner was miles away from the ball.