cryptic 14A Secure very old books in live representative ballot (5,4)
16A Boozers corporation (4,5)
13A Believer in reincarnation behind uprising to some extent (5)
7D Dressed to kill, Mad Hatter with method hosts 22 (5.2.3.5)
27A Carrier maybe was cool impressing Republican (7)
Thank you
14a. lock (secure) & v(very) & ot(books) all inside be (live)
13a.Hidden in clue&
7d.Anagram of hatter method & tee(22)
27a. R (republican)inside was hip (was cool)