Alex's gravestone reads ALEXANDER C. WHITMAN June 21,1984-April 29, 2001 But according to the episode he dies in, it should have been May 3rd. Kyle's birthday was the day after Alex died on May 4th and Liz said Alex bought tickets to a concert two days before his death, May 5th.
When Kyle is talking to his boss about becoming a partner, in one shot, the boss puts down the unfolded pizza. In the next shot, he is holding a folded pizza.
When the whole gang is in the desert saying their goodbyes. Michael is walking toward Max, you see that his right hand has a cast on it.
Losing a card from a tarot deck renders the whole deck unusable. Therefore it makes no sense that the psychic medium gives one of her cards to Michael as a gesture.
The agents of the Special Unit know for a fact that Max, Isabel and Michael are aliens with active powers, so it makes no sense for them to attempt assassination using regular guns and bullets. They have no reason to assume that this will kill or even injure them.