Originally Posted by spelt
Can I use the hammock as is or do I need to replace the suspension first?
IMO in a word... yes. You can probably use the hammock as is under the right conditions. But I would replace the suspension. Abraded rope fibers are sometimes benign and sometimes not. You are going to want to replace the suspension sooner or later anyway... so do it now and get what you want from the beginning.
Edit: It is difficult to say where that damage is on the rope. If you can hang it without putting weight on that damage you are probably ok. But as I said... most likely you will be changing the the suspension anyway.