Sorry to hear that you and your budgies haven't been feeling well
Hope things start looking up for you.
As long as your budgies have access to a cuttle bone at all times, they shouldn't need any other calcium supplements.
I'd suggest instead of trying to offer a bunch of different supplements to your budgies, that you incorporate pellets into their diet. These can be left in the cage 24/7 and your budgies can receive 1 and 1/2 to two teaspoons of seed daily, as well as vegetables. Egg food can also be offered once a week as a source of protein. This should provide sufficient nutrition for your budgies and extra supplements are not needed. You don't want to accidentally overload their system with excess vitamins and minerals.
The exception to this is Vitamin D3. If your budgies are getting limited access to direct sunlight, and full spectrum lighting is not used, you can offer them Soluvite D in their water. Keep in mind that windows and fly screens filter out most UV rays, so your budgies really need to be outside in order to get any benefits from the sun.
As for a probiotic, you can offer your birds Apple Cider Vinegar
Even if they haven't been through a course of antibiotics, it's still beneficial to offer ACV 2 - 3 times a week.
In regards to using eyedrops I would consult your Avian vet before using them on your birds.