After all of that, he wouldn't have noticed if he got back to his room and found it swarming with Death Eaters. He will get his gifts sorted out once he gets some sleep. :-)

A lot of what's going on with magic (and not just Harry's) is my attempt to fill in some gaps or puzzling issues with the way it was handled in the books. For example, why would a wand that's "excellent for transfiguration" and a "good wand for charms" (HP1 Ch5) choose Harry's parents when they were just eleven and couldn't have actually been good at those subjects yet? Clearly they already had something in them that set them up for success at those particular types of magic. And a magical object (wand) was able to somehow access this information. So, Harry comes to Hogwarts and he quickly figures out which types of magic come easily to him and which are difficult. Except, for Harry, his magic was not entirely his own. Not only did he have a horcrux stuck in him for over a decade, mixing its own magic with his (evidenced by his ability to speak to snakes... it became a skill he could consciously use, so there was definitely mixing involved), but in this story he also had these charms that did who knows what to him from birth. So, yes, Harry is able to use magic again, but it isn't necessarily the same magic he had before. He might find that his magical abilities are not the same as before, and not necessarily for the better. He is one magical year older, which does give him a bit more power overall, but he isn't going to be discovering superpowers or anything like that.

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Harry has been feeling for a while already like everyone has been taken away from him, but he's not exactly ready to admit that if Snape dies there really isn't anyone who can take him in. He definitely wants to cling to the hope that Lupin or the Weasleys could take care of him until he is of age, but he's starting to come to terms with the possibility that they just can't. Also, he finally recognizes that Snape is important to other people (people Harry cares about). That's a step forward, considering that not long ago he saw Snape only as an obstacle or a source of irritation.

Well, Snape is not sure what will happen, which would, of course, drive him crazy. Since he can't find the reason Harry is having problems in the first place, he feels like anything could happen. That's stressful. He is relatively sure it will happen on Harry's birthday (like Lupin explained to Harry, birthdays are magical milestones), so his way of trying to prepare for whatever might happen is to keep a close eye on Harry. He can't be TOO concerned, though, since he's still splitting his attention between Harry and a potion that's in another room (he could have put the cauldron in his quarters instead of in his office, if he really thought Harry was in any danger). He probably just wants to make sure "Hadrian" doesn't go walking around the castle with eyes that are suddenly bright green, or something.