Seeking Covid& Allergie guidance. Take?

Briefing summary Having an allergie. Itching on skin Dry cough Got a test conducted. Found IGE level is 500 to 600 or some time goes less but not less to 300 Was informed 1st level of asthma Took some homeopathy and later left. Did some home remedies all set and good. It started again this year. My query is what is the test for allergie to find that tells the root cause to the problem apart from going for IGE level? Need tests name for allergie. My second query is: I had stones and still there. Last year had kidney operation due to these so called stone's. Can I avail vaccine and though there are few names of vaccine. Can I take vaccine and which vaccine should I take? Your guidance is much appreciated on the questions posted above.