I check now and again, but not like I used to. If you both feel the same, maybe you have the best chance to make it. He apologized. Just trying to get along is enough without bringing others into the picture. If you had caught him out behaving as if he's single offline — taking another woman out to dinner, ferociously chatting people up in bars or exchanging suggestive text messages — it would be clear that your relationship isn't going to go very far. If I was you, use his behaviour as a free pass to go on some dates yourself.
Until you've had that conversation in which you both explicitly agree to be monogamous, you have no right to hold his behaviour against him.
Hot tip: One day I created a fake account to try to find him and saw him on there right away. I waited 2 days n finally asked him about it and got the excuse that he was bored at work!!!!!!