If you vomited right after eating, by all means, you should eat something now, so you aren't leaving your stomach empty. You would not have absorbed all the calories, but even if you did absorb some of them, you must get something into your stomach.
Go ahead and log the meal, but make a notation that you got ill and couldn't keep it down - or just don't log it.
Have you had your thyroid levels tested? Both IBS and acid reflux can be symptoms of hypothyroidism. Get TSH, Free T3 and Free T4 tested.