$($Message integrity$)$ Alice sends a message x $$Transfer $$1000$ to Mark$$ in the clear and also sends auth$($x$)$ to Bob. Oscar intercepts the message and replaces $$Mark$$ with $$Oscar$.$ Will Bob detect this?

$($Replay$)$ Alice sends a message x $$Transfer $$1000$ to Oscar$$ in the clear and also sends auth$($x$)$ to Bob. Oscar observes the message and signature and sends them $100$ times to Bob. Will Bob detect this?

$($Sender Authentication with cheating third party$)$ Oscar claims that he sent some message x with a valid auth$($x$)$ to Bob, but Alice claims the same. Can Bob clear the question in either case?

$($Authentication with Bob cheating$)$ Bob claims that he received a message x with a valid signature auth$($x$)$ from Alice $($e$.$g$.,$Transfer $$1000$ from Alice to Bob$)$ but Alice claims she has never sent it$.$ Can Alice clear this question in either case?