The correct answers are I can lift a car with one hand! and When I was a baby, I could fly around the nursery.

We use "can" for abilities in the present and "could" for abilities in the past. Remember that modal verbs are followed directly by a bare infinitive (a verb without "to"). "I can to shoot" is incorrect because of the "to," and "I could invisible" is missing the verb "be" (it should be "I can/could be invisible").