Help for recognising

Hello,

I need some help for recognising this two coins.

I believe the first one is from 13 sent. and it is an rare species of despot iakov (jakob) svetoslav / second Bulgarian empire. But i may be wrong…. 

The second one (the half one) is more difficult for me to recognise…. Please help.

I think the first one is a Byzantine trachy. The second one also might be one that's just cut in half.