A: I don't know what magik is...
I DO know what magic is... and I DO know what magick is....neither one of these needs anyone to believe in it in order to exist. Just like the aspirin doesn't need you to believe in it in order to cure your headache.
As far as your spelling of the word without the letter(s) "c" or "ck".... cut it out!
I don't know who wrote it or why it was written this way...or where you saw it written this way....but if you are serious and want others to have any respect for you and your questions do not spell it that way.
Q: If my friend doesn't believe, but her mother blesses her, does the blessing still apply?
A: Yes. Especially from the mother. Mother knows best! (note: a few mothers may not know best...but most mothers, in general do...)
Q: Also, if I take part in a magik ritual, does that draw more magik/spirits/witches/magikal occurences to me?
A: Yes. "Build it and they will come".