I think 3 applies, but possibly 2. So you need to ask your DM.
Appendix A of the Player's Handbook says this about conditions
A condition lasts either until it is countered (the prone condition is
countered by standing up, for example) or for a duration specified
by the effect that imposed the condition.
If multiple effects impose
the same condition on a creature, each instance of the condition has
its own duration, but the condition's effects don't get worse.
PHB chapter 9 (Combat), section - Damage and Healing, subsection - Death Saving Throws says
Whenever you start your turn with 0 hit points, you must make a
special saving throw, called a death saving throw, to determine
whether you creep closer to death or hang onto life. Unlike other
saving throws, this one isn't tied to any ability score. You are in
the hands of fate now, aided only by spells and features that improve
your chances of succeeding on a saving throw.
Which may indicate that your focus is entirely upon avoiding death, nothing else.
However, it isn't explicitly stated that being Unconscious due to being at 0 hit points prevents making other saving throws, so the afflicted character may be able to do both a death saving throw, and an Intelligence saving throw, at the same time.
Either way, the Stunned condition only works for up to 10 turns for that character, depending on their results from the Intelligence saves.
You should also know that neither Restoration spell will have any effect upon the conditions, given what they list they can do:
Lesser Restoration
You touch a creature and can end either one disease or one condition
afflicting it. The condition can be blinded, deafened, paralyzed, or
poisoned.
Greater Restoration
You imbue a creature you touch with positive energy to undo a
debilitating effect. You can reduce the target's exhaustion level by
one, or end one of the following effects on the target:
One effect that charmed or petrified the target
One curse, including the target's attunement to a cursed magic item
Any reduction to one of the target's ability scores
One effect reducing the target's hit point maximum