13D. Caravaggio GI in go following carava(n)
23A. namesake (nake(d) around mesa)
25A. agraphia (a George Rex +aia round P(ublic) House
27A. cockeyed (cod round key with c for church in the middle
19D. remark (Kramer rev.)
20 D. sashay(SAS + hay)
21 D. demand (d+named rev.)
Any more? Best wishes.