Oh wow, thanks for the post!
I've been trying really hard to wrap my head around healing in this game and I just don't get it.... so I need someone to explain it to me. I'm around level 10 and went into PvP with a friend yesterday just to heal because I have no idea what I'm doing when it comes to offense. What I discovered was that I'm 100% useless because all of the heals that I do have have such long cooldowns. Looking at your list, I have to ask, are you supposed to have multiple levels of the same heal? Does the cooldown for one not affect the cooldown of another? Am I just to low level for any of this to make sense?
I guess I just don't understand the basic concept of healing a spaceship or something. Hell, it took me until level 10 to figure out that you train your bridge officers in order to get your abilities. I'm so bad at this game
Okay, cooldowns...
First thing, your skillpoints (separate pool) spent on bridge officers themselves lowers cooldown on skills. Your own skillpoints make those skills more efficient.
You can't have double of same skill, like hazard emitter 2, because it uses same cooldown and not much use that, so you go for hazard emitter 1 and 2 instead etc.
When you're healing, you got these basic options for healing others efficiently:
Hull:
Hazards emitters is a heal over time with huge heal and damage resist
Engineering team is medium effect medium cooldown hull heal
Aux to structural is small short cooldown hull heal
Shields:
Extend Shields is a huge shield heal only usable on others within 5km, heals over time.
Transfer Shield Strength is basic shield heal usable by others, good one.
Science team is shield version of engineering team.
Reverse shield polarity is a huge fast shield heal, but it's only usable on yourself.
More on cooldowns: powers which use same system share a 'global cooldown'. This means that hazard emitters and polarize hull which are on same Hazard System trigger a cooldown, but it's basically shorter than the skill cooldown itself meaning you can chain those two skills but there's a small break between. This is more of a problem on science ships since science has the most complicated cooldown sets but you can't also use Engineering Team and Science Team straight after each other.
If you want to heal, also pickup defensive skills Emergency Power to Shields 1 and 2 so you can keep yourself up while healing others.