Unclued lights (three of two words, two hyphened) have something in common, verifiable in Brewer.

Across

4 Everybody agreed to close college immediately (9, three words)
11 Look into Republicans’ sentimentality (5)
12 Quickly performed the responsibility of guarding Emperor (7, hyphened)
14 Advice is rejected for ritual meal (5)
15 Elongated figure cast musket (5)
16 Irrational row: one sympathises (6)
22 Supposed evolutionary force teacher backed in series of notes (7)
24 Woman some men idealise (4)
27 Do they join torchbearers? (7)
28 Grebe’s caution, about to become too large (8)
33 South American seeds and coca regularly taken by member of large family (6)
34 Like porridge? During...