Do you heal the character after the 1st attack resolves before the 2nd free action attack?

Yes. You would heal on both attacks if possible.

but you still get the second attack no matter what

you heal as soon as damage is dealt, so even before the first attack resolves.

So to put all those responses together , you declare flurry and make your first attack, it hits they take the damage and you heal one immediately. Then you make second swing (even if you no longer have flurry) using the values of your current click.

Not 100% accurate they have to take damage for you to heal. So it's hit, deal damage, heal, then second attack.

I don't know how I got that out of order, you can't steal what you haven't yet taken. Thanks for catching that. I edited my mistake to not cause more confusion

do you keep the fluury because you already declared a flurry attack?

When you give a character an action you complete the entire action regardless of whether or not the power is lost in the middle of that action. So you already activated Flurry, therefore you are guaranteed two attacks. On a damaging hit you will heal as soon as damage is taken, so before the second attack.

You also use the new combat values on the the click you healed to, yes? If you heal mid flurry and you land on blades, which you didn't have before, it may be use upon a hit, yes?

Actually no. Combat values, yes,you use the new ones. There is the following PG entry, though:

So any powers you were using on the first attack must be used on the second if you still have / can use them, while powers you didn't use on the first attack can't be used for the second.

I though if you lose hypersonic in mid action you stop moving where you lost it?

not as of the last rule book.

wow sweet thanks

Are these new changes, or have I been doing it wrong this whole time?