Should I Use Oauth or Jwt?

If you want to do real logout you must go with OAuth2. Authentication with JWT token can not logout actually. Because you don't have an Authentication Server that keeps track of tokens. If you want to provide an API to 3rd party clients, you must use OAuth2 also.

Can I use JWT with OAuth?

JWT and OAuth2 are entirely different and serve different purposes, but they are compatible and can be used together. The OAuth2 protocol does not specify the format of the tokens, therefore JWTs can be incorporated into the usage of OAuth2.

Is JWT token same as OAuth?

Basically, JWT is a token format. OAuth is an authorization protocol that can use JWT as a token. OAuth uses server-side and client-side storage. If you want to do real logout you must go with OAuth2.