Would all patients admitted with COPD exacerbation get abgs drawn up?

Interesting question. If you ask me, most if not all such patients should get abgs. Physicians practice differently though and not all do this. There are no hard guidelines and standard of care for that as far as I am aware, unless the patient is in respiratory failure/intubated where abgs guide the management.
They should. But I have seen numerous occasions when abgs were not obtained.
Depends... It depends on the severity of symptoms. An abg is needed if it is not clear if the person needs additional help breathing, like mechanical ventilation or non-invasive ventilation. If the person is clinically stable, an abg may not be needed.