1 and 4 are certainly morailty. As to 5, they are obeying a laws that are based on societal morality...in all societies that currently exist, that morality is heavily influenced by religion.
moral
1. of, pertaining to, or concerned with the principles or rules of
right conduct or the distinction between
right and wrong; ethical: moral attitudes.
2. expressing or conveying truths or counsel as to
right conduct, as a speaker or a literary work; moralizing: a moral novel.
3. founded on the fundamental principles of
right conduct rather than on legalities, enactment, or custom: moral obligations.
4. capable of conforming to the rules of
right conduct: a moral being.
5. conforming to the
rules of right conduct ( opposed to immoral): a moral man.
None of my points have anything to do with right conduct, right/wrong or good/bad. 'Right' is not the issue because right isn't intrinsic to anything I've talked about.
#1 is not morality. It becomes morality when you attach meanings of good/bad, right/wrong to them. With pure empathy, you aren't controlling your behavior because you feel it's right or wrong, good or bad, you're controlling your behavior because you don't want to cause pain since you know what pain feels like. That knowledge is enough. For example, if you insult someone, see the pain on their face and you feel empathy for them, you may want to hug them or apologize because you feel the weight of their emotion, not because of morality. This is what I mean by empathy. It has nothing to do with what's good or bad.
Another example, I won't steal because I know that stealing will hurt the person I'm stealing from as evidenced by the pain/anger I feel imagining it/empathizing. Once you decide that this makes not stealing right is when it becomes moral. Other than that it's just a guide.
edit: you can develop a system of morality based on empathy, but empathy and acting on empathy do not necessitate morality
#4 is not morality either. The desire to contribute to society because it's a good or right thing to do is morality. The desire to contribute to society because you want to have an impact is not (i.e. it's cool to see how my actions can change things). There is nothing moral about this.
#5 I said society no longer needs morality and religion to maintain law and order. I never argued that those laws were not based on morality (in fact, I agreed that they were). Atheists show that religion is not required to obey the law or to have a desire to obey it.
In my opinion, fear of the law is enough to maintain it for most people (most people don't want to go to jail for many practical reasons) and that's definitely not moral.