Chola had a formidable navy, so I assume those are for it (@AggressiveWimp: Chola used and perhaps incorporated as well the designs of 13th-century Junk Ships into their own navy, so it's a possibility). With the Chola in mind, I'm going to take a guess and say that the first one is a Thirisadai or a Yanthiram and the second one is a Vajara or a Dharani.
Great guess!

So, the first image is a Thirisadai, a sort of battleship the Chola Navy had. However, the unit itself its not called "Thirisadai", but rather Thalai-Thirvai (Thalai-Thirvai were sort of director-generals of the navy, controlling both economic and militaristic stuff of it)
As for the second, yeah, it looks like a Junk ship because the Chola did incorporate chinese designs into their navy. At one point I wanted to go and call it Vajara or Dharani, but since we're not so sure on how exactly those looked, we went with "Kadatpadai" instead.