Russian word for "hope" is "НАДЕЖДА" (NADEZHDA). It is also popular as a name. If used as a name, it is common to utilize the diminutive form of it "НАДЯ" (NADYA).
How do you write I love you in Russian using the English alphabet?
ya lueblue tebya - i love you
it is actually
ya tebya lueblue
in Russian the pronoun come first
so it is
I you love
How you say goodnight my love in Russian?
Спокойной ночи, любимая. Pronounced spokoinoi nochi, liubimaya ( to a woman)
Спокойной ночи, любимый. Pronounced spokoinoi nochi, liubimyi (to a man)
How do you say sweet dreams in Russian?
Not sure about 'sweet dreams' exactly, but 'SpakOini NOchi' (conventionally 'good night') is literally '(I wish you) a tranquil night'