The correct options are
A Kerala was a part of an ancient Tamilakam.
C Mahodayapuram is in present-day Kodungallur.
Kerala was a part of the South Indian region called Tamilakam. Tamilakam was ruled by Moovendars or the three lines of kings- Cheras, Cholas and Pandyas. The kingdom of Mahodayapuram was established in the ninth century CE and it is in present-day Kodungallur.