They are most likely growling
A shaking cat should be checked by a vet. Shaking like this could range from seizers, nerve damage from being hit by a car, hypothermia from being out in the elements, rabies can cause shaking as it attacks the nervous system, or even distemper.
Put what on the cat? This question is incomplete so is impossible to answer.
The rat being the prey of the cat would , naturally , be eaten particularly if the cat is hungry .
Cats lick their owners while being petted as a sign of affection and to groom you, as they would groom themselves or other cats in their social group.
she is rather sick and dizzy, and may fall over
The cat would eat the gecko, then freeze to death. If the cat swallowed the gecko hole, it would be warm for a while but later die.
The word cat translates to gato or gata in Portuguese, the former being the masculine noun, while the latter being the feminine.They are pronounced GAH-too and GAH-tuh, respectively.
You should laugh!!
Normally you would hear a hissing sound accompanied by your cat being angry
Cats may lick your hand while being petted as a sign of affection or to groom you, as they would do with other cats. It can also be a way for them to show trust and bond with you.
It depends if your cat likes being on a leash. If not walking your cat around the yard would be more like following the cat. If you held it that would be a different thing. You wouldn't exactly be "walking" your cat.
Age? Indoor/outdoor? Did he recently fall? Is he normally healthy? Do you have kids? You didn't give *nearly* enough information for anyone to help you, but I'll still give you the best answer: bring your cat to a vet if he's been limping long enough to raise concern.