Are all law enforcement officers considered cops or just police officers?

Cops isn't an official term.

All police officers are law enforcement officers, but not all law enforcement officers of police officers.

Cops technically means beat patrolmen.

Because they had big copper buttons on uniforms.

It can be used for any kind of peace officer.

When George ("Machine-Gun") Kelly caught by FBI's Melvin Purvis, he cried " Dont shoot, G-Men!". He called them Government Men.

The ones with the copper buttons...

Depends on Country. We have police officers here were I live. Great bunch. In America they have cops & may other descriptive names they call the things.

All three terms are interchangeable

Cops are police officers are law enforcement officers but not all law enforcement officers are police officers

Technically, it's not even all police officers, but there's no universal agreement on who it is.

One theory is that "cop" is an acronym for "constable on patrol", which would mean it is only those who (1) have the rank of constable, and (2) patrol (excluding those with desk jobs).

Another theory is that "cop" means a person with a copper badge, which would include only those who served when badges were still made from copper.

Another theory is that it means "a person who tries to get criminals to 'cop' (confess) to crimes".

By other law enforcement officers, I'm reffering to correctional officers, court officers, DEA officers, homeland security officers etc.

Same difference. Sheriffs/deputies have more jurisdiction. But are often referred to as cops as well.

The sheriffs department polices the entire county. Where as police departments are for separate cities.

All Law Enforcement Officers are considered to be COPS.

What other people are 'law enforcement officers'? I don't know what you mean by that. Examples, please?