Yes your still good. Pay no attention to the airlock now. What size is your carboy? If it is 6 or 6.5 gallons you can use it for primary. You may need a blow off tube if it is 6. If it is 5 it will be good for dry hopping in secondary or long aging any high gravity beer. Also I would have a bucket for Star San and make it with distilled water. It will last indefinitely mixed with distilled. Hard water can ruin the effectiveness of Star San.
I'm a little different in how I add the corn sugar. I like to rack my beer to the bottling bucket, get accurate volume, then weigh my corn sugar. There are calculators on line for figuring the amounts. Being new you can just use a measuring cup. I then boil a cup of water with the corn sugar, cool it, and mix into the beer gently with sanitized spoon. Let it go for a few minutes and bottle. Put the bucket on the counter. I then add a short piece of tubing to the valve on the bucket and add the bottle filler. Put it on the counter and fill the sanitized bottles. I just put the caps in a bowl covered with Star San and cap. You get the theme, sanitize, sanitize, sanitize......Make sure you bottles are clean before sanitation. Good luck and welcome to the addiction of brewing.