Ok so I would change out the coil UVB your using -- they arent very good - for your 40 gallon tank you can get one of the two I am going to post --- these are way better UVB's -- the coil sitting on the screen is not doing much good - the screen blocks 30% of the rays and coils are terrible UVB's any way they cause too many health issues --
24"
Zoo Med ReptiSun T5 HO High Output Terrarium Hood this will come w/a 5.0 bulb keep it for a back up the distance and placement is going to be different from the bulb you need for your tank 22"
Zoo Med ReptiSun 10.0 UVB T5 HO High Output Fluorescent Bulb
when you get it please let me know I can help you place this and get it distanced correctly
the other one is this one found at Pet Smart or they are/were carrying them
24"
Arcadia Reptile ProT5 UV-B Kit | reptile Heating & Lighting | PetSmart you want the 12% bulb
the probe thermometers can be placed on the side of the tank - take one of them and place on the spot where she basks leave for 10 min or so you want those surface basking temps 95-100 --- then you can place it back on the side of the tank -- I would spot check that every 10 days or so - as of now if they are in the tank they are giving you ambient temps - I would please get rid of the mat and get a ceramic heat emitter -- dragons heat from the back not stomachs -- the heat emitter can sit on top of your screen middle of the tank - you want ambient temps in the tank at night 65-75 --- it will heat your whole tank in the middle - dragons like cool and dark to sleep it metabolizes their system -- Feather is watching her as cats are predators and she the cat may be stressing her out -- does Feather have stress marks on her? they could be from the cat and relocation stress --