How much does she weigh today?
How is her appetite today?
Is there still a discharge from her nose today?
If her nose is congested this will make it difficult for her to breath when you administer the antibiotic or try to give her food with the syringe. You need to push out the smallest amount possible and back off and allow her time to process that, swallow and take a few breaths before you try to get more into her. Observe her very carefully as you do this and you be better able to be sure she is safely processing what you give her. Be slow, be very patient.
With the antibiotic you might try having the full dose mixed, but only pull up the smallest amount possible into the syringe. That way if the plunger sticks a little she will only have to cope with a little fluid. A little bit of fluid going the wrong way is always better than a lot of fluid going the wrong way. Then just keeping going that way, giving the smallest possible amount, until the full dose is given.
Below is a video which may help you with your technique with using the syringe with a squirrel.
https://www.youtube.com/watch?v=XLjR...relsandmorellc
I don't know how it is in your country, but sometimes drug rehabilitation programs will give out free syringes to prevent the addicts from getting sick from reusing the same syringe. (I am just trying to think of ways to get you a smaller syringe.)