Welcome to the forum, and congrats on your new family member!
First of all, the "eye rolling" is most likely his third-eyelid that you're seeing, it is kind of upsetting if you don't know what it is, lol. When they shed it can irritate their eyes quite a bit. And though you should never, ever, ever, ever pull off any loose shed from any part of their body at all and you should never, ever attempt to "help him" get ANY shed off, when it comes to the area around their eyes, if you see that he has any loose pieces of shed hanging around his eyes, you can very, very gently use your hand to try to "wipe" it away. DO NOT GRAB LOOSE SHED AND PULL IT OFF, but simply use your thumb to try to gently wipe any loose, hanging shed away from around his eyes. Other than doing that, he just has to get through the shed, which he will.
While they can be irritated by a shed and this can sometimes effect their appetites and their energy levels, if his body is done shedding and he's still not eating at this point, it sounds to me like you very likely have some husbandry issues with his lighting, temperatures, etc. that are effecting his appetite and behavior. Inadequate lighting is the #1 cause of these kind of issues in new owners with new babies, and can also cause eye irritation and issues. So since you have only had him a short time, it's extremely important to go over your husbandry to make sure that he's not starting to suffer from a Calcium Deficiency due to inadequate UVB/UVA lighting or improper temperature zones.
What a lot of new owners don't understand is that most Calcium Deficiencies and MBD are not caused by the Dragon not taking-in enough Calcium, but rather due to them not getting adequate
UVB light, which prevents their bodies from absorbing any of the calcium they are taking-in, and so they just excrete all the calcium you give them. The very first signs/symptoms of the start of a Calcium Deficiency are lack of appetite, lethargy, and then the twitching/tremors...So it's a really good idea for you to first use the "User Image Uploader" in the TaskBar at the top of the page to upload some photos of your dragon, and then also of his entire tank/enclosure that also show how you have his lighting set-up.
Then if you could answer some basic questions for us about your lighting, temps, and diet, we can help you get any issues you have straightened out now before they cause any serious problems, which can happen within only a month or so, so it's good that you're doing this now, while he's still very young and hasn't been under the wrong lighting, temps, etc. for very long. (THE INFORMATION ON YOUR LIGHTS WILL BE PRINTED DIRECTLY ON THE LIGHTS THEMSELVES)
-Exactly what
UVB light do you have for him, meaning the Brand, Wattage, and type (is it a Compact bulb, and Coil/Spiral Bulb, or a long, fluorescent Tube?
-Do you have the
UVB light on top of a mesh lid to the tank?
-How many inches is your
UVB light from your Dragon's Basking Spot/Platform?
-How many hours each day do you leave both the UVB and the Basking Light on?
-What size of tank is your Dragon in?
-What substrate do you have in the bottom of his tank?
-What is the wattage and the color of light emitted by your Dragon's Basking Bulb?
-What is your Dragon's regular, daily diet?
-How many times a week do you give him Calcium? A Multivitamin? Which ones do you use?
*****I possibly see a HUGE issue right off the bat with the temperature zones inside his tank...You listed only 2 temperatures, one for the Cool Side of 70-80 degrees F, and then one of 100 degrees on the Hot Side. I'm going to assume that you probably have 1 or 2 of those Stick-On Thermometers that are stuck to the glass of the tank on each side, or maybe you only have 1 and you move it back and forth to check each side of the tank...If this is the case and you are only using some kind of Stick-On Thermometer to measure these 2 temperatures, then these are both Ambient or Air Temperatures that you're measuring, because obviously the Stick-On Thermometers can only measure the temperature of the Air around them. They cannot at all measure any Surface Temperatures. Your Dragon's Basking Spot/Platform Temperature is not an Air Temperature, it's a Surface Temperature, which should make sense, it's the temperature of the surface of the rock, piece of wood, ceramic basking platform, etc. that your Dragon lays on while basking. THE ONLY WAY YOU CAN MEASURE YOUR DRAGON'S BASKING SPOT/PLATFORM SURFACE TEMPERATURE IS WITH EITHER A TEMPERATURE GUN, OR MORE COMMONLY A $10 DIGITAL THERMOMETER THAT HAS A PROBE ON A WIRE...
*****So here's the major problem you may have with his temperature zones that I'm talking about...If I'm correct and that 100 degrees F you are measuring in the Hot Side of his tank is being read on any kind of Stick-On Thermometer and not either a Gun or a Probe Thermometer, then that is NOT his "Basking Spot Temperature", but rather his Hot Side Air/Ambient Temperature, WHICH SHOULD ONLY BE BETWEEN 88-93 DEGREES F!!! So the bottom line is that his tank is much too hot, and this will absolutely cause a lack of appetite and lethargy!!!
***If you don't already have either a Temperature Gun or a Digital Probe Thermometer, you absolutely must get one immediately, as Dragon's rely on a proper Basking Spot Surface Temperature to properly digest their live insects. If their Basking Spot Surface Temperature is too low they will not be able to digest their food and they will become impacted, and if it's too high they will become dehydrated, can develop heat exhaustion, and potentially die if the temperature is high enough and they are in it for too long...So please, if you don't already have one, you need to run to any Pet Shop and spend $10 on a Digital Thermometer that has a Probe on a Wire. Then you need to set the Probe directly on his Basking Spot/Platform, let it sit there for at least 20-30 minutes, and then read the temperature...
Proper Bearded Dragon Temperature Ranges:
COOL SIDE AIR/AMBIENT TEMPERATURE (The air temperature in the Cool Side of the tank, taken with either a Stick-On Thermometer or a Digital Probe Thermometer): Between 75-80 degrees F maximum.
HOT SIDE AIR/AMBIENT TEMPERATURE (The air temperature in the Hot Side of the tank, the air that SURROUNDS his Basking Spot/Platform; taken with either a Stick-On Thermometer or a Digital Probe): Between 88-93 degrees F maximum.
BASKING SPOT/PLATFORM SURFACE TEMPERATURE (The temperature of the SURFACE of the Basking Spot/Platform that the Dragon lays on while basking; located within the Hot Side of the tank, directly underneath both the bright-white Basking Bulb and the UVB tube): For a baby/juvenile Dragon who is under a year or so old it should be between 105-110 degrees F maxium; For a sub-adult or adult who is a year to a year and a half old or older, it should be between 100-105 degrees F maximum.
****The hottest SURFACE Temperature located anywhere inside a Dragon's tank should be 110 degrees F, no hotter...The absolute highest AIR/AMBIENT Temperature located anywhere inside a Dragon's tank should be 93 degrees F, no hotter....