Is the following sentence linguistically acceptable?
The screw which I've got to try and find holds the door to the frame.

acceptable

Is the following sentence linguistically acceptable?
John said if Heidi was obsessed with broccoli.

unacceptable

Is the following sentence linguistically acceptable?
John believed that he is honest.

acceptable

Is the following sentence linguistically acceptable?
The only relatives who I'd like to do away with are my aunts.
acceptable