Hello from JustAnswer.
Yes, you will be able to fly next week. The subconjunctival hemorrhage would not interfere with flying, even if occurring immediately before the flight, although it also will typically resolves quickly, so may have resolved before the flight.
The use of warfarin, glaucoma drops, beta-blockers, or amitriptyline also would not be an issue with flying.
The atrial fibrillation would only be a potential issue if it is not well controlled, but the beta-blockers would usually maintain control of the heart rate, which is all that needs to be done to be able to fly.
If I can provide any additional information, please let me know.