For 29a: Very old eyes in state hospital should be replaced with time (6) I have OM(M)AT?, and wonder whether it's OMATA, but Omaha is a city and not a state, so I'm at a loss.
16 D. Fiddlers' pieces,maybe, lush since entertaining King Cole? (7)?one?tas
24 D. Chamber piece not including me (5)
n?onet
(I thought 'nonet' but I don't know why).