Which one is regular and irregular verbs john has become or john has became a rather good actor?

In these sentences there are two verbs has and become (became). Both of them are irregular.

Has is the singular form of have, have is an irregular verb.

Become is an irregular verb it's past form is became the past participle form is become. --- become / became / become.

The sentence is a present perfect sentence. The form for present perfect is have/has + past participle.

So the correct verb is has become because become is the past participle.