I get cold sores on my lips, is it possible that i have given them to my 2 year old? he also has dots (kinda like pimples) on his face also.

Possible: He may develop shallow sores inside his mouth along with gum swelling as well.

Possible: It is possible to spread a cold sore to your child by kissing when there are active lesions. The dots should all be clustered and resemble a cold sore. If the "pimples" are more scattered, it is more likely to be a skin infection like folliculitis or impetigo, which is treated with oral or topical antibiotics.