Losing Chewbacca would be among the most painful things Han could imagine, that's absolutely true. He wouldn't leave him behind anywhere, willingly, without talking to him about it and arranging a time and place to meet up again. Though his son doesn't give his father very much credit, because keeping his son's presense hidden is extremely important to him as well.

So to land, dump the kids off and get back into the sky as fast as possible? That seems suspicions. Likely to have someone contact the general and report the news back to her. So he's trying to keep everything casual. Hailing Leia himself, stilted conversation as it was and one that she spent the whole time knowing he was hiding something, was still better than having someone else communicate with her. At least this way, Han could see her reactions and predict what she was going to do in turn.

She was worried, yes, and concerned, but she wasn't going to press or try to chase him down. She had too many things on her plate. That seemed a relative constant in her life since he's known her. And he managed not to slip the info that Ben was alive, though, he didn't try to lie and tell her he was dead, either. All and all, that was about as successful as he could hope for in a talk with his wife.

Then he had to get the frequencies of the next of kin from his Eravana crew. He had a password protected backup of the data stored onto the holonet which he took the time to download onto a portable interface. That didn't take especially long, but he wanted to do it when people werent hanging on him.

Then he arragned to have the ship refuled and then, he said his goodbyes to Rey and Finn.

Once all of that was all set, Han got back onto the ship and they prepared for their departure for the Jakku system.