With the information you gave, going to have to make some guesses. I assume to handle him you reach into the cage and catch him. Try and feeding him for a while get him used to your hand. After he gets used to this, try to encourage them to walk onto your hand by holding food close to it...
I have one panther chameleon that I have spoiled rotten. He has learned to trust me and I do nothing to break that trust. He knows he's in a cage and where the cage door is. If I open the cage door, insert my hand, palm up, he walks onto it quickly to be free. I place them in a small tree...
I agree with the other posted reply. I don't think chameleon will ever "like" you. By gentle handling and feeding you will gain his trust, that is the most that you could expect. And yes, Panthers can recognize people.
You say you just moved, give them some time to adjust to the new situation. This may take a couple of days or up to a week or more. I would give him some time to adjust before I get worried about them.
He looks good to me. You say he's always moving around the cage, give him some time to settle down. You say he's eating and drinking. That is always a good sign and his eyes looked good. Look likes things are going great for you. Keep up the good work.
Missed nozzles put out a spray that covers most of the cage. Just try to set your plants to maximize if the effect of the spray. One thing nice about chameleons, their mobile and can move about to get the spray droplets once they learn it's there.
We used 2 Mist King systems. One system...
We usually try to judge by the females color. Upon seeing the male if she stays light she may be receptive. When she is done with the male her colors usually turned dark, she wants nothing to do with the male and threatens him. We are no experts, but this is how we make our judgments.
We have a drip system that runs in the morning for about 20 minutes. Then at 1 o'clock and 4 o'clock in the afternoon we run a mist system for one minute. Your chameleon needs may be different, so watch his excrement and adjust the water accordingly.
The cage looks pretty good. As others have said I would add some more near the top. Also I would add a vine or a stick from the floor of the cage up to the plant to give the chameleon access to the plant from the floor. Sometimes they like to wonder on the floor and need a way to get back up.
Hand feeding
I'm no expert, but I don't really think you can feed a chameleon too much. I have a male chameleon that I try to set free once a day, and while he's free. I like give him a couple of superworms. We give him crickets in his cage, and we count crickets before we give him any to...
We have 3 male panther chameleons and they all like to move around the cage. That includes the floor. Truthfully I would get a little scared if they stop doing the roaming about their cages.