trying to be kind, but echoing others suggesting to start from scratch
the first looks kinda blocky and unwieldy, and the chicken appears to be a full grown male rooster. chicks are small and fluffy. so not exactly an on-brand image
and lol to the c4s concern. 'get your freak on but beware the beaks and talons'
the second one reminds me of Miami Vice era design. not very modern looking. problematic if not going for an 80's feel in terms of the content
is Loreen still around? she made me a logo that was completely on brand; perfect font and colour scheme for my site/style, and subtly incorporated my beloved cat paw theme
to this day I love it so. can't remember what I spent but it was very inexpensive. she knocked it out of the park on her first try cuz she asked me a lot of specific questions about what vibe I wanted at the beginning
there are a lot of great logo designers here. look around, look at their portfolios, end up with something really special that fits your site/style perfectly. don't know what that is, but I'd wager the examples you posted ain't it
good luck!