I DID MY BEST TO NOTICE= If you do your best to do something, you do everything you can to do it, you try really hard.

THE CALL CAME DOWN THE LINE= A telephone call, the telephone line. He’s using the metaphor of a telephone call because he’s asking the question (are we human or are we dancer?) and he’s waiting for an answer, but the telephone isn’t ringing, nobody’s answering that question. That’s why to the end of the song he says "there is no message we’re receiving". Maybe he's asking the question to God or to humankind in general. But there is no reply because that question must be answered by everyone of us.

UP TO...= The sentence would be "I was brought up to the platform of surrender" (I was taken to the point of surrendering, giving up completely). The preposition "up to" indicates destination point. If you go up to the river, you go to the river and stop there. It is to place the same as "until" is to time: "I worked until 4 o’clock", "I ran up to the house".

NERVOUS= /nɜ:*vəs/

HEART= /hɑ:*t/

CORD= String (see picture).

CUT THE CORD= If you are tied up with a cord you can't move, you're not free. So to cut the cord means "get free".

DANCER= As we explained in the Meaning section, this is grammatically "incorrect"; or better still, an innovation. He’s using the noun DANCER as an adjective opposed to HUMAN, like two different races or kinds of people, those who are human and those who are dancers. Since "dancer" is used as an adjective here, it has no plural. A dancer in this song is a person with no freedom, no choice, a puppet dancing a ready-made standard choreography. (note: if we used "dancer" in the normal sense of a noun expressing profession, the sentence should be "are we a dancer?" or "are we dancers?")

VITAL= Of extraordinary importance. He’s probably making a play of words with the expression "vital signs", that are the signs telling if a person is still alive (pulse, breathing, temperature, etc.). So when he says "my sign is vital, my hands are cold" he means that he’s physically alive (my sign is vital), but somehow he’s also dead (my hands are cold) because he’s not free, he’s not really human but a wooden puppet.

I’M ON MY KNEES= I’m kneeling down (see picture). He's probably asking that question to God, so he's kneeling in pray.

PAY MY RESPECTS TO GRACE AND VIRTUE= In this paragraph he’s going to say goodbye to many things he loves. If you tell someone to pay your respects to somebody, you’re sending your love or saying goodbye because they are away.
- Pay my respects to your mother, tell her than some day I’ll go for a visit.

SEND MY CONDOLENCES TO GOOD= Condolence is an expression of sympathy with a person who has experienced grief, misfortune or pain. If you send your condolences to somebody you want them to know you feel very sorry because they lost a dear person (dead).
- You know? John’s father has died.
- Oh really? That’s too bad. Send him my condolences.
In this sentence, the word "good" means "goodness, virtue".

GIVE MY REGARDS TO= This expression is not so formal as "pay my respects to" but it means the same, it means that you are not there, you are away, but want someone to tell them that you remember them.
- I’m going back home to Madrid.
- Ok, give my regards to your wife there.
If he gives his regards to soul and romance it means that those things are not here anymore, they’re gone and he misses them.

THEY ALWAYS DID THE BEST THEY COULD= Again we meet the expression "do your best" (= try hard, do everything possible). Soul and romance did the best they could, but no success, now they’re gone and forgotten.

SO LONG= An old-fashioned or poetical expression meaning "goodbye". "So long to devotion" means "goodbye to devotion".

DEVOTION= Ardent, often selfless affection and dedication, as to a person or principle.

WAVE GOODBYE= When you wave goodbye you move your hand up left and right in a motion meaning "goodbye".

WISH ME WELL= Please, wish the best for me.

YOU’VE GOTTA= (coll.) You’ve got to, you have to, you must.

WILL YOUR SYSTEM...= The complete sentence is "Will your system be alright when you dream of home tonight?". Maybe he means that since we’re not human anymore we are similar to machines, computers, so instead of a soul we are a system, and home is the place where we should be (but we aren’t), which is our human nature. We are not human, but mechanic, so he asks the question "is your heart still beating?" as a way to make us wake up and realize we’re not human anymore (and do something about it).

LET ME KNOW= This sentence often means simply "tell me", so "let me know, is your heart still beating?" means "tell me if your heart is still beating". If you're heart is beating then you are still a person, not a robot.