It's funny - I was just talking to my Mum about the hospital in our home town and the lack of support when I first worked up there, then I read your post.
First of all, I DREAM about having a 5:1 ratio - all the med/surg I've done we have 6-12 patients, easy (or more if a staff member calls in sick, or we get extra admissions).
You are probably just feeling nervous and depressed. You also need to get your time management down pat, then maybe you will feel a bit better about your work load. Do you use a cheat sheet, with all your patients name on one side, and your times up the top, then work out after handover what duties you have to do? The more organised you get, the better you will feel re your work place.
Also don't let patients manipulate your time. You have to be firm but professional. For example, walk into your first patient's room and say: Hi Mr/s _____ I have 5 patients today, I can spend 15 minutes doing your obs (or whatever), that way the patient has a realistic idea of how much time you can spend with them. Tell them when you walk in the room you only have so much time to perform a certain procedure (like checking an IDC for example). ALWAYS ask is there anything you need URGENTLY before you leave a room, saves time with ringing bells (but not always).
Needy patients will take up much of your time, you need to use a bit of psychology with them, but don't let them manipulate you. Needy patients have usually been in the same or different hospitals many times, and know how to work the system. Be firm, state your duties for the day, get your work done, get out of there. If needy patients just want to talk (and they invariably do re all their multitude of problems), don't get sucked in. Say I will be back later or something, (after doing all your checks on them), then walk straight out the room. They will soon get the message, one would hope anyway.
There isn't enough time in nursing to get everything done, that's why you need to really prioritise what you need to get done in those precious 8 hours (or whatever) of work. Nursing is VERY HARD - don't let anyone tell you any different.
Ask other nurses you work with re their time management. Also talk to your manager or preceptor if you have one re your problems. Maybe that will help (but being the cynical older nurse that I am, I doubt it very much).