2003 93 ARC need help identifying two hoses

[Maia]

So I'm new here... be nice !!

I've got an issue with two hoses, the arrow on the image to the left is rubber and cracked, I think I can cut it shorter and reinstall it, but I might need to buy it, can't find the name of it anywhere...

The arrow on the right points to a plastic hose that broke at the arrow's location, it's held together with duct tape and will need to be replace (it's actually the "bib" on the circular device that's broken and not the hose... but I need to identify it and find where to order it.

lastly, there is a new sound that I think is the turbo that's making some louder wind down noises then I remember hearing before... is that telling me something about my car?

Oh, yeah, is it safe to drive the car without risking damage to it, with those hoses cracked and duct taped until I can get them repaired or should I park it?

Thanks for the help