Considering that you are working as a nurse intern, without the actual PN license, I think this sounds like a dangerous situation. In my state, we have trained medication aides. When a shift can't be filled by a nurse, we will use TMA's. This sounds like more of the capacity that you can (without the license) work without supervision. Without having a mentor/preceptor readily accessible each shift that you work as a nurse intern, I would be very wary of working in the capacity you are describing--signing off on skin assessments, for example.
Now, my guess is that the facility you are working in will state that you ARE being supervised, but the snarking by your new co-workers would be evidence to the contrary. How quickly nurses forget our first year!
That being said, what you are describing (minus the comments by co-workers) sounds like a pretty typical brand-new nurse experience in an LTC. It DOES get better. It DOES take more than 9 days of orientation to be comfortable. It WILL get better, if you choose to stay.
I would recommend looking for a facility that would allow you to work as a TMA instead. When I work with a TMA (and there are only a few that I'm really comfortable working with) as the floor RN, I have to supervise their work, I still need to do the insulins, and I do not let them do skin assessments. For those that are in nursing school, I will ask them if they want to come with me for wound care, catheter changes, and skin assessments.
Something that I do not think is stressed enough for LPNs in school is delegation, delegation, delegation. It IS stressed more for RNs. You will learn this as you go--especially with all those things in the treatment book like shin protectors, alarms, etc. You will get to the point where it's automatic, but this takes a long time. Heck, at this point when I can't sleep I run through my AM med pass for my residents :-) I can tell you which residents have alarms, if it's a pressure pad, a tab, etc. You learn to cluster your care so those precious few minutes a day that you have with each resident counts--you'll hand them the medication, look for the alarms, and say "how is that scratch/bruise/abrasion on your arm/leg,shoulder etc doing? "Oh, can I see your....and check for the shin/arm protectors."
It helped me to have the treatment book on my med cart. I've also seen new nurse who use two report sheets--one for the previous shifts info (some will use a different color pen) and they use that sheet for reporting items. The other sheet is for vitals, treatments, blood sugars, etc. They fill in who needs what and then staple the two sheets together back to back to flip back and forth.
Just another organization idea to try and help :-) Good luck in whatever you decide to do, but please know that the overwhelming feelings are pretty normal. School simply does not prepare you for what the day to day activities of nursing are really like.