Can the loyalty abilities still be activated?
        Can they be activated after the creature has attacked? (ie. during the 2nd main phase)
Yes and yes. Nothing stops loyalty abilities from being activated just because Planeswalker is not the only type on the card. Actually, nothing stops a loyalty ability from being activated even if the permanent has not the Planeswalker type. Also, a loyalty ability doesn't include the tap simbol, so it doesn't matter if the creature is tapped or has summoning sickness.

    Does the creature die if it's loyalty hits 0?
Yes: 

> 704.5i If a planeswalker has loyalty 0, it’s put into its owner’s graveyard.

    Does the creature die if it has lethal damage counted on it?
Yes:

> 704.5g If a creature has toughness greater than 0, and the total damage marked on it is greater than or equal to its toughness, that
> creature has been dealt lethal damage and is destroyed. Regeneration
> can replace this event.

    Can damage applied to the creature be directed to apply to the loyalty, on only counted as damage on the creature? (ie. counted against it's toughness)
It counts for both. So if the creature-planeswalker is dealt two damage, you remove two loyalty counters **and** mark two damage on it (remember that damage does not reduce thoughness).