There's a problem with both of the hoses. They're useless in my opinion...........
Just kidding. I removed the parts that all of those hoses connect to- no A/C, no evaporative charcoal can on my car.
Seriously though, the first picture is showing the air conditioning hoses. These are connected to the condensor whiich is under the front of the car. If you damaged the sheathing on this hose, it would be best to remove it and have it repaired. Or replace it. The A/C hoses in older 911 cars is somewhat notorious for being leaky. So replacement may be needed if the hose is faulty in many places. By the way, i'd remove the clamps on the hoses which hold the hoses to the chassis. You'll be shocked how much dirt & crud they're collecting up there!
The second picture is the charcoal emissions canister for the fuel system. The big hose connects to the backside of the engine air filter box. The braided cloth hose connects to the fuel system venting, I believe. I'm rather sured that bulge in the hose is because there is a union inside the hose that connects two differing sized hoses? Take a closer picture if you can, if someone else replies and says i'm mistaken. But I think there's nothing wrong there.