"là" and "ici" are very common terms in French.
They are very close in meaning and French speakers use both words. There may be a small difference, "là" meaning "there" while "ici" means "here".
However, in the example you use obviously he cannot mean "there" if he's saying "Je suis là." Generally speaking ici means exactly here (on the spot) whereas là means around here.
For example, if someone calls on the phone and asks you if someone is there you could say:
"Il n'est pas ici mais il est là."
By this you mean he's not standing next to you but he is here (in the building somewhere).
But, il n'est pas lá, can also mean he's not in. A telephone conversation can begin with est-ce Paul est lá - Is Paul in? Non, il n'est pas lá - No, he's not in.
je ne suis pas heureux ici
Singular form - viens ici (come here), plural/polite form - venez ici (you could say -avancez jusqu'ici - but it would probably be in a specific context - putting people into position - for example, at the beginning of a race).
Je suis originaire de France. or more commonly: je viens de France
C'est ici (pronounced "say eesea")
'viens ici' or simply 'ici' are the usual ways you say 'come here' to a dog in French.
Je suis ici pour toi.
Oui, je suis ici
"Je suis là". You would pronounce that as "Je swee la."
I'm here for you is "je suis ici pour toi"
je ne suis pas heureux ici
You can say "Je suis ici pour une semaine" in French to convey the meaning that you are here for a week.
To say "I'm here with you" in French, you would say "Je suis là avec toi."
Je suis venu(e) ici prendre une bière
Singular form - viens ici (come here), plural/polite form - venez ici (you could say -avancez jusqu'ici - but it would probably be in a specific context - putting people into position - for example, at the beginning of a race).
Je suis heureux d'être ici aujourd'hui dans la classe
Je suis originaire de France. or more commonly: je viens de France
infirmier is the word for nurse in french. If you wanted to say come here it would be "viens ici" (pronounced v-un e-c)