You don't have to tolerate constant hypo feelings. Hang in there, it'll take a few weeks for your body to get accept the lower level as normal. When you feel hypo, always test your bs. Obviously if you're really hypo, you need carbs. If you're above 4, you're not in danger of passing out - unless of course it continues to fall, into real hypo. Try eating something filling but carb-free (like lettuce) or some protein to make yourself feel full quickly. I find a handful of nuts works for me, but check first because some nuts do contain carbs. Hopefully this will trick your body that you've eaten something to treat the symptoms. Check again if hypo feeling continues, in case your bs has continued to fall and reached real hypo level.
Similarly if you ever find you're not recognising hypos until down in the 2s, you'd need to run a little higher for a few weeks to reprogramme yourself.
An HbA1c between 6 and 6.5 or 7 is widely viewed (by medics) as good control. That's your first target. The lower the better but gradual reduction is better than sudden drops. No good having HbA1c of 5 if your life is blighted with bad hypos, also sudden drops can affect your eyes.