Here are the corrected sentences:

"He went to the store and he bought an apple. He then went back home and ate an apple with a very big smile."

Explanation of corrections:

"Wenting" is not a correct verb form. It should be "went" for past tense.

"Buyed" is not a correct past tense form of "buy". It should be "bought".

"Apples" should be singular because it refers to one piece of fruit.

"Goed" is not a correct verb form. It should be "went" for past tense.

"An very" should be "a very" because "very" starts with a consonant sound.

"Apple" should be lowercase because it is a common noun and not the start of a sentence.

"With an very smile" should be "with a very big smile" for grammatical correctness and clarity.
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